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Finding the Fourth Proportional to 459,394,901.70, 689,092,352.55 and 459,394,901.70

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Solution

The fourth proportional to 459,394,901.70, 689,092,352.55 and 459,394,901.70 is: 689,092,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,394,901.70 : 689,092,352.55 = 459,394,901.70 : x
  2. Step 2: Convert to fraction form
    459,394,901.70/689,092,352.55 = 459,394,901.70/x
  3. Step 3: Cross multiply
    459,394,901.70x = 689,092,352.55 × 459,394,901.70
  4. Step 4: Simplify right side
    459,394,901.70x = 316,565,513,561,928,960
  5. Step 5: Solve for x
    x = 316,565,513,561,928,960/459,394,901.70
  6. Step 6: Final answer
    x = 689,092,352.55

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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.