The initial condition of the banking system is as follows: $500 billion in reserve, $4,500 billion in loans and investments, and 5,000 billion in deposits. The required reserve is 10%. The Fed buys $100 billion government securities using open market operation, and lowers the reserve requirement to 5%. The banking system converts 85% excess reserves to loans, but borrowers return only 65% of these funds to the banking system as deposits. What is the maximum amount of loans in the banking system as a result of such Fed operation?

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