Google recently had a market cap of $$191$ billion, total equity of $$20\mathrm{.}7$ billion, and $315$ million shares outstanding. At about the same time, the PB of Yahoo and eBay was $4.$ Assume that we desire a minimum $12\%$ annual return on our investments, and that we believe Google will sell at $4$ times book value five years from now. What must Google earn $($ROE$)$ on average over the next $5$ years to make it a worthwhile investment?

$($Assume that Google pays no dividends.$)$

Do not round until your final answer. Round final answer to one decimal place $($ex: $0\mathrm{.}2345=23\mathrm{.}5\%).$