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Finding the Fourth Proportional to 648,751,311.68, 894,559,184.16 and 413,428,953.92

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Solution

The fourth proportional to 648,751,311.68, 894,559,184.16 and 413,428,953.92 is: 570,074,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,751,311.68 : 894,559,184.16 = 413,428,953.92 : x
  2. Step 2: Convert to fraction form
    648,751,311.68/894,559,184.16 = 413,428,953.92/x
  3. Step 3: Cross multiply
    648,751,311.68x = 894,559,184.16 × 413,428,953.92
  4. Step 4: Simplify right side
    648,751,311.68x = 369,836,667,726,797,440
  5. Step 5: Solve for x
    x = 369,836,667,726,797,440/648,751,311.68
  6. Step 6: Final answer
    x = 570,074,635.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.