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Finding the Fourth Proportional to 417,744,008.70, 626,616,013.07 and 417,744,008.70

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Solution

The fourth proportional to 417,744,008.70, 626,616,013.07 and 417,744,008.70 is: 626,616,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,744,008.70 : 626,616,013.07 = 417,744,008.70 : x
  2. Step 2: Convert to fraction form
    417,744,008.70/626,616,013.07 = 417,744,008.70/x
  3. Step 3: Cross multiply
    417,744,008.70x = 626,616,013.07 × 417,744,008.70
  4. Step 4: Simplify right side
    417,744,008.70x = 261,765,085,215,473,408
  5. Step 5: Solve for x
    x = 261,765,085,215,473,408/417,744,008.70
  6. Step 6: Final answer
    x = 626,616,013.07

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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.