Medians And Areas

Geometry Level 3

Let \(ABC\) be a triangle with the centroid \(G\) and medians \(AM, BN, CP\). Let \(Q\) be a point on \(AG\) such that \(AQ=GQ\). Define \(R,S\) as the midpoints of \(BG,CG\) respectively. If \(S(\triangle ABC)=x\cdot S(PQNSMR)\), what is value of \(x\)?

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