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Finding the Fourth Proportional to 275,714,902.80, 413,572,354.20 and 245,582,198.10

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Solution

The fourth proportional to 275,714,902.80, 413,572,354.20 and 245,582,198.10 is: 368,373,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,714,902.80 : 413,572,354.20 = 245,582,198.10 : x
  2. Step 2: Convert to fraction form
    275,714,902.80/413,572,354.20 = 245,582,198.10/x
  3. Step 3: Cross multiply
    275,714,902.80x = 413,572,354.20 × 245,582,198.10
  4. Step 4: Simplify right side
    275,714,902.80x = 101,566,007,817,827,760
  5. Step 5: Solve for x
    x = 101,566,007,817,827,760/275,714,902.80
  6. Step 6: Final answer
    x = 368,373,297.15

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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.