At T(K), $K_p$ value for the reaction, $2\text{AO}_2(\text{g})+\text{O}_2(\text{g}) \rightleftharpoons 2\text{AO}_3(\text{g})$ is $4\times 10^{10}$. What is the $K'_p$ value for $3\text{AO}_2(\text{g})+\frac{3}{2}\text{O}_2(\text{g}) \rightleftharpoons 3\text{AO}_3(\text{g})$ at T(K)?