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Finding the Fourth Proportional to 272,904,873.40, 409,357,310.10 and 265,730,419.90

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Solution

The fourth proportional to 272,904,873.40, 409,357,310.10 and 265,730,419.90 is: 398,595,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,904,873.40 : 409,357,310.10 = 265,730,419.90 : x
  2. Step 2: Convert to fraction form
    272,904,873.40/409,357,310.10 = 265,730,419.90/x
  3. Step 3: Cross multiply
    272,904,873.40x = 409,357,310.10 × 265,730,419.90
  4. Step 4: Simplify right side
    272,904,873.40x = 108,778,689,902,007,520
  5. Step 5: Solve for x
    x = 108,778,689,902,007,520/272,904,873.40
  6. Step 6: Final answer
    x = 398,595,629.85

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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.