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Finding the Fourth Proportional to 209,953,763.20, 314,930,644.80 and 200,387,825.20

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Solution

The fourth proportional to 209,953,763.20, 314,930,644.80 and 200,387,825.20 is: 300,581,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,763.20 : 314,930,644.80 = 200,387,825.20 : x
  2. Step 2: Convert to fraction form
    209,953,763.20/314,930,644.80 = 200,387,825.20/x
  3. Step 3: Cross multiply
    209,953,763.20x = 314,930,644.80 × 200,387,825.20
  4. Step 4: Simplify right side
    209,953,763.20x = 63,108,267,000,305,688
  5. Step 5: Solve for x
    x = 63,108,267,000,305,688/209,953,763.20
  6. Step 6: Final answer
    x = 300,581,737.80

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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.