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Finding the Fourth Proportional to 275,168,542.80, 412,752,814.20 and 111,405,982.80

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Solution

The fourth proportional to 275,168,542.80, 412,752,814.20 and 111,405,982.80 is: 167,108,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,168,542.80 : 412,752,814.20 = 111,405,982.80 : x
  2. Step 2: Convert to fraction form
    275,168,542.80/412,752,814.20 = 111,405,982.80/x
  3. Step 3: Cross multiply
    275,168,542.80x = 412,752,814.20 × 111,405,982.80
  4. Step 4: Simplify right side
    275,168,542.80x = 45,983,132,919,416,792
  5. Step 5: Solve for x
    x = 45,983,132,919,416,792/275,168,542.80
  6. Step 6: Final answer
    x = 167,108,974.20

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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.