Golden Ratio and the inheritance injustice to women

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QURAN 4.11

..... The male shall have

the equal of the portion of two females.....

Based on the above ayat, with the current distribution of inheritance 

 

the man gets 66.6% 

and the woman 33.3%.

 

Calculated at a 2:3 male Ratio

 

Actually with close inspection, the ayat states the EQUAL portion of two females.

 

The Quran is mentioning "the Golden ratio", which is calculated differently to the current 2:3 ratio.

 

The Golden Ratio is calculated at a 2:1 ratio  

 

Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities - 1.618

 

 

This would mean 

 

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Men should get 61.80% (instead of 66.6%)

Women should get 38.20% (instead of 33.3%)

an injustice to women, by 4.85%