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Finding the Fourth Proportional to 274,941,570.31, 412,671,524.56 and 100,233,469.31

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Solution

The fourth proportional to 274,941,570.31, 412,671,524.56 and 100,233,469.31 is: 150,444,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,941,570.31 : 412,671,524.56 = 100,233,469.31 : x
  2. Step 2: Convert to fraction form
    274,941,570.31/412,671,524.56 = 100,233,469.31/x
  3. Step 3: Cross multiply
    274,941,570.31x = 412,671,524.56 × 100,233,469.31
  4. Step 4: Simplify right side
    274,941,570.31x = 41,363,498,592,095,672
  5. Step 5: Solve for x
    x = 41,363,498,592,095,672/274,941,570.31
  6. Step 6: Final answer
    x = 150,444,687.38

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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.