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Finding the Fourth Proportional to 279,936,278.40, 419,904,417.60 and 150,941,769.60

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Solution

The fourth proportional to 279,936,278.40, 419,904,417.60 and 150,941,769.60 is: 226,412,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,278.40 : 419,904,417.60 = 150,941,769.60 : x
  2. Step 2: Convert to fraction form
    279,936,278.40/419,904,417.60 = 150,941,769.60/x
  3. Step 3: Cross multiply
    279,936,278.40x = 419,904,417.60 × 150,941,769.60
  4. Step 4: Simplify right side
    279,936,278.40x = 63,381,115,855,401,384
  5. Step 5: Solve for x
    x = 63,381,115,855,401,384/279,936,278.40
  6. Step 6: Final answer
    x = 226,412,654.40

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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.