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Finding the Fourth Proportional to 458,471,838.40, 687,707,757.60 and 458,471,838.40

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Solution

The fourth proportional to 458,471,838.40, 687,707,757.60 and 458,471,838.40 is: 687,707,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,471,838.40 : 687,707,757.60 = 458,471,838.40 : x
  2. Step 2: Convert to fraction form
    458,471,838.40/687,707,757.60 = 458,471,838.40/x
  3. Step 3: Cross multiply
    458,471,838.40x = 687,707,757.60 × 458,471,838.40
  4. Step 4: Simplify right side
    458,471,838.40x = 315,294,639,908,813,568
  5. Step 5: Solve for x
    x = 315,294,639,908,813,568/458,471,838.40
  6. Step 6: Final answer
    x = 687,707,757.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.