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Finding the Fourth Proportional to 275,168,536.80, 412,752,805.20 and 111,405,976.80

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Solution

The fourth proportional to 275,168,536.80, 412,752,805.20 and 111,405,976.80 is: 167,108,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,168,536.80 : 412,752,805.20 = 111,405,976.80 : x
  2. Step 2: Convert to fraction form
    275,168,536.80/412,752,805.20 = 111,405,976.80/x
  3. Step 3: Cross multiply
    275,168,536.80x = 412,752,805.20 × 111,405,976.80
  4. Step 4: Simplify right side
    275,168,536.80x = 45,983,129,440,246,120
  5. Step 5: Solve for x
    x = 45,983,129,440,246,120/275,168,536.80
  6. Step 6: Final answer
    x = 167,108,965.20

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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.