Finding the Fourth Proportional to 37,902,315,526,414, 52,305,195,426,452 and 21,680,933,558,542
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Solution
The fourth proportional to 37,902,315,526,414, 52,305,195,426,452 and 21,680,933,558,542 is: 29,919,688,310,788.35
Step by Step Solution
- Step 1: Write the proportion equation
37,902,315,526,414 : 52,305,195,426,452 = 21,680,933,558,542 : x - Step 2: Convert to fraction form
37,902,315,526,414/52,305,195,426,452 = 21,680,933,558,542/x - Step 3: Cross multiply
37,902,315,526,414x = 52,305,195,426,452 × 21,680,933,558,542 - Step 4: Simplify right side
37,902,315,526,414x = 1,134,025,466,807,460,755,276,824,576 - Step 5: Solve for x
x = 1,134,025,466,807,460,755,276,824,576/37,902,315,526,414 - Step 6: Final answer
x = 29,919,688,310,788.35
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.