Let \(G\) be the center of equilateral triangle \(XYZ.\) A dilation centered at \(G\) with scale factor \(-2/3\) is applied to triangle \(XYZ,\) to obtain triangle \(X'Y'Z'.\) Let \(A\) be the area of the region that is contained in both triangles \(XYZ\) and \(X'Y'Z'.\) Find \(\frac{A}{[XYZ]}.\)
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