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Finding the Fourth Proportional to 976,650,807.30, 1,466,676,822.15 and 517,485,783.30

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Solution

The fourth proportional to 976,650,807.30, 1,466,676,822.15 and 517,485,783.30 is: 777,129,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,650,807.30 : 1,466,676,822.15 = 517,485,783.30 : x
  2. Step 2: Convert to fraction form
    976,650,807.30/1,466,676,822.15 = 517,485,783.30/x
  3. Step 3: Cross multiply
    976,650,807.30x = 1,466,676,822.15 × 517,485,783.30
  4. Step 4: Simplify right side
    976,650,807.30x = 758,984,404,158,247,552
  5. Step 5: Solve for x
    x = 758,984,404,158,247,552/976,650,807.30
  6. Step 6: Final answer
    x = 777,129,756.60

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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.