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Finding the Fourth Proportional to 360,856,744.20, 541,285,116.30 and 360,856,744.20

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Solution

The fourth proportional to 360,856,744.20, 541,285,116.30 and 360,856,744.20 is: 541,285,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,856,744.20 : 541,285,116.30 = 360,856,744.20 : x
  2. Step 2: Convert to fraction form
    360,856,744.20/541,285,116.30 = 360,856,744.20/x
  3. Step 3: Cross multiply
    360,856,744.20x = 541,285,116.30 × 360,856,744.20
  4. Step 4: Simplify right side
    360,856,744.20x = 195,326,384,751,936,320
  5. Step 5: Solve for x
    x = 195,326,384,751,936,320/360,856,744.20
  6. Step 6: Final answer
    x = 541,285,116.30

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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.