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Finding the Fourth Proportional to 275,592,409.40, 413,388,614.10 and 137,842,902.20

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Solution

The fourth proportional to 275,592,409.40, 413,388,614.10 and 137,842,902.20 is: 206,764,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,592,409.40 : 413,388,614.10 = 137,842,902.20 : x
  2. Step 2: Convert to fraction form
    275,592,409.40/413,388,614.10 = 137,842,902.20/x
  3. Step 3: Cross multiply
    275,592,409.40x = 413,388,614.10 × 137,842,902.20
  4. Step 4: Simplify right side
    275,592,409.40x = 56,982,686,303,979,840
  5. Step 5: Solve for x
    x = 56,982,686,303,979,840/275,592,409.40
  6. Step 6: Final answer
    x = 206,764,353.30

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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.