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Let ABCABCABC be a triangle with the centroid GGG and medians AM,BN,CPAM, BN, CPAM,BN,CP. Let QQQ be a point on AGAGAG such that AQ=GQAQ=GQAQ=GQ. Define R,SR,SR,S as the midpoints of BG,CGBG,CGBG,CG respectively. If S(△ABC)=x⋅S(PQNSMR)S(\triangle ABC)=x\cdot S(PQNSMR)S(△ABC)=x⋅S(PQNSMR), what is value of xxx?
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