To ensure high availability and fault tolerance in a Hive setup, focusing on components like HDFS and ZooKeeper is crucial. HDFS replicates data across nodes, ensuring availability, while ZooKeeper manages configurations and maintains the availability of services like NameNode and Hive metastore. These components form the backbone of fault tolerance and high availability in a Hive deployment, laying the foundation for a robust analytics infrastructure.

Hive ensures data consistency during backup and recovery operations through transactional consistency, ensuring that either all changes made in a transaction are applied, or none of them are, thereby maintaining data integrity. This approach guarantees that backup and recovery operations are performed reliably, minimizing the risk of data corruption or loss.

When using Apache Airflow with Hive, workflow orchestration involves defining Directed Acyclic Graphs (DAGs) where each task corresponds to a Hive operation using the HiveOperator, allowing for seamless orchestration and monitoring of Hive tasks.

Hive integrates seamlessly with Spark for real-time data processing and analytics, leveraging Spark's in-memory computing capabilities to provide rapid data processing and real-time insights.

Data Integrity is the most direct and key consideration when designing backup and recovery strategies in Hive.

When integrating Hive with Apache Druid, the data ingestion process can involve various methods such as Direct Ingestion, Batch Ingestion, Real-time Ingestion, and Incremental Ingestion. Each method has its own advantages and use cases, providing flexibility in managing data ingestion based on requirements and constraints.

A comprehensive security strategy for Hive involves implementing network segmentation to isolate clusters, conducting regular security assessments and penetration testing, encrypting sensitive data, and hardening Hive configurations with prompt security patching. These measures help mitigate security vulnerabilities and data breaches, aligning with industry best practices to ensure robust security for the financial institution's data warehouse solution.

Scaling up a Hive cluster requires careful consideration of factors such as horizontal scaling, dynamic resource allocation, partitioning and bucketing techniques, and auto-scaling policies. By expanding the cluster horizontally, implementing dynamic resource allocation, optimizing data organization, and configuring auto-scaling policies, enterprises can ensure efficient resource utilization and minimal performance degradation, effectively meeting growing data processing demands with scalability and elasticity.

Integration between Apache Airflow and Hive metastore is facilitated through the Hive Metastore Thrift API, enabling Airflow to interact with Hive for metadata operations and monitoring, ensuring seamless workflow integration.

Built-in functions and User-Defined Functions serve different purposes in Hive. Built-in functions are pre-defined and readily available, while User-Defined Functions are custom functions created by users to fulfill specific requirements. Understanding this difference is crucial for optimizing query performance and extending Hive's functionality.