For the following reaction, the equilibrium constant $K_c$ at 298 K is $1.6\times {10}^{17}.$
$F{e}^{2+}\left(aq\right)+S^{2-}\left(aq\right)\rightleftharpoons FeS\left(s\right)$ 
When equal volumes of 0.06 M $F{e}^{2+}\left(aq\right)$ and 0.2 M $S^{2-}\left(aq\right)$ solutions are mixed, the equilibrium concentration of $F{e}^{2+}\left(aq\right)$ is found to be $Y\times {10}^{-17}$ M. The value of Y is _________