In a one-litre flask, 6 moles of A undergoes the reaction A(g) $$\rightleftharpoons$$ P(g). 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 $$(\Delta G_2^\circ - \Delta G_1^\circ) = RT_2 \ln x$$, then the value of x is ______.

[$$\Delta G_1^\circ$$ and $$\Delta G_2^\circ$$ are standard Gibb's free energy change for the reaction at temperatures $$T_1$$ and $$T_2$$, respectively.]