Finding the Fourth Proportional to 47,587,685,667,696, 71,414,134,580,564 and 16,608,755,760,558
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Solution
The fourth proportional to 47,587,685,667,696, 71,414,134,580,564 and 16,608,755,760,558 is: 24,924,513,610,153.73
Step by Step Solution
- Step 1: Write the proportion equation
47,587,685,667,696 : 71,414,134,580,564 = 16,608,755,760,558 : x - Step 2: Convert to fraction form
47,587,685,667,696/71,414,134,580,564 = 16,608,755,760,558/x - Step 3: Cross multiply
47,587,685,667,696x = 71,414,134,580,564 × 16,608,755,760,558 - Step 4: Simplify right side
47,587,685,667,696x = 1,186,099,919,100,206,642,697,863,168 - Step 5: Solve for x
x = 1,186,099,919,100,206,642,697,863,168/47,587,685,667,696 - Step 6: Final answer
x = 24,924,513,610,153.73
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.