Finding the Fourth Proportional to 49,123,392,313,010, 73,689,618,223,498 and 16,042,061,936,926
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Solution
The fourth proportional to 49,123,392,313,010, 73,689,618,223,498 and 16,042,061,936,926 is: 24,064,572,171,997.69
Step by Step Solution
- Step 1: Write the proportion equation
49,123,392,313,010 : 73,689,618,223,498 = 16,042,061,936,926 : x - Step 2: Convert to fraction form
49,123,392,313,010/73,689,618,223,498 = 16,042,061,936,926/x - Step 3: Cross multiply
49,123,392,313,010x = 73,689,618,223,498 × 16,042,061,936,926 - Step 4: Simplify right side
49,123,392,313,010x = 1,182,133,419,649,785,786,898,841,600 - Step 5: Solve for x
x = 1,182,133,419,649,785,786,898,841,600/49,123,392,313,010 - Step 6: Final answer
x = 24,064,572,171,997.69
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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.