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Finding the Fourth Proportional to 409,536,039.60, 614,304,059.40 and 256,481,031.60

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Solution

The fourth proportional to 409,536,039.60, 614,304,059.40 and 256,481,031.60 is: 384,721,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,536,039.60 : 614,304,059.40 = 256,481,031.60 : x
  2. Step 2: Convert to fraction form
    409,536,039.60/614,304,059.40 = 256,481,031.60/x
  3. Step 3: Cross multiply
    409,536,039.60x = 614,304,059.40 × 256,481,031.60
  4. Step 4: Simplify right side
    409,536,039.60x = 157,557,338,870,979,680
  5. Step 5: Solve for x
    x = 157,557,338,870,979,680/409,536,039.60
  6. Step 6: Final answer
    x = 384,721,547.40

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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.