$($Future value$)$ Bob Terwilliger received $$$$12$ comma $345$ for his services as financial consultant to the$$ mayor's office of his hometown of Springfield. Bob says that his consulting work was his civic duty and that he should not receive any compensation.$$ So$,$ he has invested his paycheck into an account paying $3\mathrm{.}98$ percent annual interest and left the account in his will to the city of Springfield on the condition that the city cannot collect any money from the account for $200$ years. How much money will the city receive from$$ Bob's generosity in $200$years$?$

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Part $1$

The amount of money the city will receive from$$ Bob's generosity is $$$

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