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Finding the Fourth Proportional to 413,967,030.60, 620,950,545.90 and 310,654,900.20

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Solution

The fourth proportional to 413,967,030.60, 620,950,545.90 and 310,654,900.20 is: 465,982,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,967,030.60 : 620,950,545.90 = 310,654,900.20 : x
  2. Step 2: Convert to fraction form
    413,967,030.60/620,950,545.90 = 310,654,900.20/x
  3. Step 3: Cross multiply
    413,967,030.60x = 620,950,545.90 × 310,654,900.20
  4. Step 4: Simplify right side
    413,967,030.60x = 192,901,329,865,700,000
  5. Step 5: Solve for x
    x = 192,901,329,865,700,000/413,967,030.60
  6. Step 6: Final answer
    x = 465,982,350.30

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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.