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Finding the Fourth Proportional to 409,536,041.60, 614,304,062.40 and 256,481,033.60

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Solution

The fourth proportional to 409,536,041.60, 614,304,062.40 and 256,481,033.60 is: 384,721,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,536,041.60 : 614,304,062.40 = 256,481,033.60 : x
  2. Step 2: Convert to fraction form
    409,536,041.60/614,304,062.40 = 256,481,033.60/x
  3. Step 3: Cross multiply
    409,536,041.60x = 614,304,062.40 × 256,481,033.60
  4. Step 4: Simplify right side
    409,536,041.60x = 157,557,340,869,030,880
  5. Step 5: Solve for x
    x = 157,557,340,869,030,880/409,536,041.60
  6. Step 6: Final answer
    x = 384,721,550.40

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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.