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Finding the Fourth Proportional to 976,650,823.80, 1,466,676,846.90 and 517,485,799.80

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Solution

The fourth proportional to 976,650,823.80, 1,466,676,846.90 and 517,485,799.80 is: 777,129,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,650,823.80 : 1,466,676,846.90 = 517,485,799.80 : x
  2. Step 2: Convert to fraction form
    976,650,823.80/1,466,676,846.90 = 517,485,799.80/x
  3. Step 3: Cross multiply
    976,650,823.80x = 1,466,676,846.90 × 517,485,799.80
  4. Step 4: Simplify right side
    976,650,823.80x = 758,984,441,166,188,672
  5. Step 5: Solve for x
    x = 758,984,441,166,188,672/976,650,823.80
  6. Step 6: Final answer
    x = 777,129,781.36

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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.