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Finding the Fourth Proportional to 275,922,449.20, 413,532,004.20 and 146,592,017.20

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Solution

The fourth proportional to 275,922,449.20, 413,532,004.20 and 146,592,017.20 is: 219,701,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,922,449.20 : 413,532,004.20 = 146,592,017.20 : x
  2. Step 2: Convert to fraction form
    275,922,449.20/413,532,004.20 = 146,592,017.20/x
  3. Step 3: Cross multiply
    275,922,449.20x = 413,532,004.20 × 146,592,017.20
  4. Step 4: Simplify right side
    275,922,449.20x = 60,620,490,672,436,864
  5. Step 5: Solve for x
    x = 60,620,490,672,436,864/275,922,449.20
  6. Step 6: Final answer
    x = 219,701,190.85

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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.