Finding the Fourth Proportional to 71,674,789,755,956, 98,910,157,214,547 and 40,033,943,176,918
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Solution
The fourth proportional to 71,674,789,755,956, 98,910,157,214,547 and 40,033,943,176,918 is: 55,246,253,627,387.23
Step by Step Solution
- Step 1: Write the proportion equation
71,674,789,755,956 : 98,910,157,214,547 = 40,033,943,176,918 : x - Step 2: Convert to fraction form
71,674,789,755,956/98,910,157,214,547 = 40,033,943,176,918/x - Step 3: Cross multiply
71,674,789,755,956x = 98,910,157,214,547 × 40,033,943,176,918 - Step 4: Simplify right side
71,674,789,755,956x = 3,959,763,613,547,200,741,327,765,504 - Step 5: Solve for x
x = 3,959,763,613,547,200,741,327,765,504/71,674,789,755,956 - Step 6: Final answer
x = 55,246,253,627,387.23
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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.