Finding the Fourth Proportional to 16,377,227,354,847, 22,601,284,182,010 and 9,069,363,098,401
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Solution
The fourth proportional to 16,377,227,354,847, 22,601,284,182,010 and 9,069,363,098,401 is: 12,516,114,498,229.16
Step by Step Solution
- Step 1: Write the proportion equation
16,377,227,354,847 : 22,601,284,182,010 = 9,069,363,098,401 : x - Step 2: Convert to fraction form
16,377,227,354,847/22,601,284,182,010 = 9,069,363,098,401/x - Step 3: Cross multiply
16,377,227,354,847x = 22,601,284,182,010 × 9,069,363,098,401 - Step 4: Simplify right side
16,377,227,354,847x = 204,979,252,736,795,732,164,476,928 - Step 5: Solve for x
x = 204,979,252,736,795,732,164,476,928/16,377,227,354,847 - Step 6: Final answer
x = 12,516,114,498,229.16
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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.