Let $ABC$ be an equilateral triangle. Extend side $\overline{AB}$ beyond $B$ to a point $B'$ so that $BB'=3AB$. Similarly, extend side $\overline{BC}$ beyond $C$ to a point $C'$ so that $CC'=3BC$, and extend side $\overline{CA}$ beyond $A$ to a point $A'$ so that $AA'=3CA$. Find the ratio of the area of $\triangle A'B'C'$ to the area of $\triangle ABC$. If the ratio is $x:1$, what is the value of $x$?

Let's think step by step and output the final answer within \boxed{}.
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