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Finding the Fourth Proportional to 279,769,612.80, 419,654,419.20 and 177,732,940.80

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Solution

The fourth proportional to 279,769,612.80, 419,654,419.20 and 177,732,940.80 is: 266,599,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,769,612.80 : 419,654,419.20 = 177,732,940.80 : x
  2. Step 2: Convert to fraction form
    279,769,612.80/419,654,419.20 = 177,732,940.80/x
  3. Step 3: Cross multiply
    279,769,612.80x = 419,654,419.20 × 177,732,940.80
  4. Step 4: Simplify right side
    279,769,612.80x = 74,586,414,044,131,984
  5. Step 5: Solve for x
    x = 74,586,414,044,131,984/279,769,612.80
  6. Step 6: Final answer
    x = 266,599,411.20

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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.