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Finding the Fourth Proportional to 508,292,487.10, 762,350,978.49 and 134,802,964.54

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Solution

The fourth proportional to 508,292,487.10, 762,350,978.49 and 134,802,964.54 is: 202,181,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,292,487.10 : 762,350,978.49 = 134,802,964.54 : x
  2. Step 2: Convert to fraction form
    508,292,487.10/762,350,978.49 = 134,802,964.54/x
  3. Step 3: Cross multiply
    508,292,487.10x = 762,350,978.49 × 134,802,964.54
  4. Step 4: Simplify right side
    508,292,487.10x = 102,767,171,920,421,760
  5. Step 5: Solve for x
    x = 102,767,171,920,421,760/508,292,487.10
  6. Step 6: Final answer
    x = 202,181,174.28

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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.