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Finding the Fourth Proportional to 534,294,898.40, 799,741,736.40 and 381,239,890.40

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Solution

The fourth proportional to 534,294,898.40, 799,741,736.40 and 381,239,890.40 is: 570,646,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,294,898.40 : 799,741,736.40 = 381,239,890.40 : x
  2. Step 2: Convert to fraction form
    534,294,898.40/799,741,736.40 = 381,239,890.40/x
  3. Step 3: Cross multiply
    534,294,898.40x = 799,741,736.40 × 381,239,890.40
  4. Step 4: Simplify right side
    534,294,898.40x = 304,893,451,933,441,664
  5. Step 5: Solve for x
    x = 304,893,451,933,441,664/534,294,898.40
  6. Step 6: Final answer
    x = 570,646,384.32

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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.