# I call it similarity!

Geometry Level 3

Find the value of $$x$$, if $$ABCD$$ is a square. A line passes through $$B$$ intersects $$CD$$ produced at $$E$$, the side $$AD$$ at $$F$$ and the diagonal $$AC$$ at $$G$$. And $$BG =3$$, and $$GF =1$$.

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