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Finding the Fourth Proportional to 269,472,041.20, 404,208,061.80 and 147,028,034.80

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Solution

The fourth proportional to 269,472,041.20, 404,208,061.80 and 147,028,034.80 is: 220,542,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,472,041.20 : 404,208,061.80 = 147,028,034.80 : x
  2. Step 2: Convert to fraction form
    269,472,041.20/404,208,061.80 = 147,028,034.80/x
  3. Step 3: Cross multiply
    269,472,041.20x = 404,208,061.80 × 147,028,034.80
  4. Step 4: Simplify right side
    269,472,041.20x = 59,429,916,976,770,960
  5. Step 5: Solve for x
    x = 59,429,916,976,770,960/269,472,041.20
  6. Step 6: Final answer
    x = 220,542,052.20

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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.