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Finding the Fourth Proportional to 287,361,504.80, 431,042,257.20 and 82,896,250.40

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Solution

The fourth proportional to 287,361,504.80, 431,042,257.20 and 82,896,250.40 is: 124,344,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,361,504.80 : 431,042,257.20 = 82,896,250.40 : x
  2. Step 2: Convert to fraction form
    287,361,504.80/431,042,257.20 = 82,896,250.40/x
  3. Step 3: Cross multiply
    287,361,504.80x = 431,042,257.20 × 82,896,250.40
  4. Step 4: Simplify right side
    287,361,504.80x = 35,731,786,885,832,404
  5. Step 5: Solve for x
    x = 35,731,786,885,832,404/287,361,504.80
  6. Step 6: Final answer
    x = 124,344,375.60

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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.