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Finding the Fourth Proportional to 265,720,808.80, 398,581,213.20 and 182,497,148.20

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Solution

The fourth proportional to 265,720,808.80, 398,581,213.20 and 182,497,148.20 is: 273,745,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,720,808.80 : 398,581,213.20 = 182,497,148.20 : x
  2. Step 2: Convert to fraction form
    265,720,808.80/398,581,213.20 = 182,497,148.20/x
  3. Step 3: Cross multiply
    265,720,808.80x = 398,581,213.20 × 182,497,148.20
  4. Step 4: Simplify right side
    265,720,808.80x = 72,739,934,735,096,192
  5. Step 5: Solve for x
    x = 72,739,934,735,096,192/265,720,808.80
  6. Step 6: Final answer
    x = 273,745,722.30

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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.