Finding the Fourth Proportional to 327,524,148,294.21, 491,339,013,672.79 and 100,883,494,929.98
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Solution
The fourth proportional to 327,524,148,294.21, 491,339,013,672.79 and 100,883,494,929.98 is: 151,341,503,070.59
Step by Step Solution
- Step 1: Write the proportion equation
327,524,148,294.21 : 491,339,013,672.79 = 100,883,494,929.98 : x - Step 2: Convert to fraction form
327,524,148,294.21/491,339,013,672.79 = 100,883,494,929.98/x - Step 3: Cross multiply
327,524,148,294.21x = 491,339,013,672.79 × 100,883,494,929.98 - Step 4: Simplify right side
327,524,148,294.21x = 49,567,996,894,760,279,212,032 - Step 5: Solve for x
x = 49,567,996,894,760,279,212,032/327,524,148,294.21 - Step 6: Final answer
x = 151,341,503,070.59
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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.