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Finding the Fourth Proportional to 559,872,167.70, 839,808,251.55 and 414,753,345.30

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Solution

The fourth proportional to 559,872,167.70, 839,808,251.55 and 414,753,345.30 is: 622,130,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,167.70 : 839,808,251.55 = 414,753,345.30 : x
  2. Step 2: Convert to fraction form
    559,872,167.70/839,808,251.55 = 414,753,345.30/x
  3. Step 3: Cross multiply
    559,872,167.70x = 839,808,251.55 × 414,753,345.30
  4. Step 4: Simplify right side
    559,872,167.70x = 348,313,281,740,906,432
  5. Step 5: Solve for x
    x = 348,313,281,740,906,432/559,872,167.70
  6. Step 6: Final answer
    x = 622,130,017.95

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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.