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Finding the Fourth Proportional to 272,053,348.20, 408,080,022.30 and 272,053,348.20

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Solution

The fourth proportional to 272,053,348.20, 408,080,022.30 and 272,053,348.20 is: 408,080,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,053,348.20 : 408,080,022.30 = 272,053,348.20 : x
  2. Step 2: Convert to fraction form
    272,053,348.20/408,080,022.30 = 272,053,348.20/x
  3. Step 3: Cross multiply
    272,053,348.20x = 408,080,022.30 × 272,053,348.20
  4. Step 4: Simplify right side
    272,053,348.20x = 111,019,536,400,245,664
  5. Step 5: Solve for x
    x = 111,019,536,400,245,664/272,053,348.20
  6. Step 6: Final answer
    x = 408,080,022.30

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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.