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Finding the Fourth Proportional to 653,829,894,254.10, 980,744,841,381.15 and 653,829,894,254.10

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Solution

The fourth proportional to 653,829,894,254.10, 980,744,841,381.15 and 653,829,894,254.10 is: 980,744,841,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,829,894,254.10 : 980,744,841,381.15 = 653,829,894,254.10 : x
  2. Step 2: Convert to fraction form
    653,829,894,254.10/980,744,841,381.15 = 653,829,894,254.10/x
  3. Step 3: Cross multiply
    653,829,894,254.10x = 980,744,841,381.15 × 653,829,894,254.10
  4. Step 4: Simplify right side
    653,829,894,254.10x = 641,240,295,930,491,425,521,664
  5. Step 5: Solve for x
    x = 641,240,295,930,491,425,521,664/653,829,894,254.10
  6. Step 6: Final answer
    x = 980,744,841,381.15

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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.