In an one-litre flask, 6 moles of A undergoes the reaction $A\left(g\right)\underset{ }{\rightleftharpoons }P\left(g\right).$ The progress of product formation at two temperatures (in Kelvin), $T_1$ and  $T_2$ is shown in the figure:

If $T_1=2T_2$ and $(\Delta {G_2}^{\Theta }-\Delta {G_1}^{\Theta })=R{T}_2$ ln x, then the value of x is __________. $[\Delta {G_1}^{\Theta }$ and  $\Delta {G_2}^{\Theta }$ are standard Gibb's free energy change for the reaction at temperatures  $T_1$ and $T_2$  respectively.]