Finding the Fourth Proportional to 49,096,014,984,897, 67,752,923,192,286 and 28,002,877,853,721
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Solution
The fourth proportional to 49,096,014,984,897, 67,752,923,192,286 and 28,002,877,853,721 is: 38,644,212,426,808.35
Step by Step Solution
- Step 1: Write the proportion equation
49,096,014,984,897 : 67,752,923,192,286 = 28,002,877,853,721 : x - Step 2: Convert to fraction form
49,096,014,984,897/67,752,923,192,286 = 28,002,877,853,721/x - Step 3: Cross multiply
49,096,014,984,897x = 67,752,923,192,286 × 28,002,877,853,721 - Step 4: Simplify right side
49,096,014,984,897x = 1,897,276,832,386,125,591,188,865,024 - Step 5: Solve for x
x = 1,897,276,832,386,125,591,188,865,024/49,096,014,984,897 - Step 6: Final answer
x = 38,644,212,426,808.35
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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.