In $1626,$ Dutchman Peter Minuit purchased Manhattan Island from a local Native American tribe. Historians estimate that the price he paid for the island was about $$24$ worth of goods, including beads, trinkets, cloth, kettles, and axe heads. Many people find it laughable that Manhattan Island would be sold for $$24,$ but you need to consider the future value $($FV$)$ of that price in more current times. If the $$24$ purchase price could have been invested at a $5\mathrm{.}75\%$ annual interest rate, what is its value as of $2018(392$ years later$)?$

$$104,398,097,260\mathrm{.}87$

$$90,952,887,765\mathrm{.}15$

$$67,226,047,478\mathrm{.}59$

$$79,089,467,621\mathrm{.}87$