Finding the Fourth Proportional to 435,668,252,198.28, 653,312,584,523.95 and 231,416,741,385.17
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Solution
The fourth proportional to 435,668,252,198.28, 653,312,584,523.95 and 231,416,741,385.17 is: 347,024,298,083.69
Step by Step Solution
- Step 1: Write the proportion equation
435,668,252,198.28 : 653,312,584,523.95 = 231,416,741,385.17 : x - Step 2: Convert to fraction form
435,668,252,198.28/653,312,584,523.95 = 231,416,741,385.17/x - Step 3: Cross multiply
435,668,252,198.28x = 653,312,584,523.95 × 231,416,741,385.17 - Step 4: Simplify right side
435,668,252,198.28x = 151,187,469,416,455,966,031,872 - Step 5: Solve for x
x = 151,187,469,416,455,966,031,872/435,668,252,198.28 - Step 6: Final answer
x = 347,024,298,083.69
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.