$($CHAPTER $21)$

Today, the exchange rate between the US dollar and Appleland's currency is $$1\mathrm{.}000=$ AAA$7\mathrm{.}042,$ and between the US dollar and Bananaland's currency is $$1\mathrm{.}000=BBB3\mathrm{.}178.$ Calculate the implied cross$-$rate between Appleland's and Bananaland's currencies, expressed as the amount of AAA per one unit of BBB$.$

Do NOT use units in your answer, and only put your numeric answer.

Round your answer to FOUR decimal places, for example, $1\mathrm{.}2345$