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Finding the Fourth Proportional to 253,711,213.20, 380,566,819.80 and 224,485,894.80

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Solution

The fourth proportional to 253,711,213.20, 380,566,819.80 and 224,485,894.80 is: 336,728,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,711,213.20 : 380,566,819.80 = 224,485,894.80 : x
  2. Step 2: Convert to fraction form
    253,711,213.20/380,566,819.80 = 224,485,894.80/x
  3. Step 3: Cross multiply
    253,711,213.20x = 380,566,819.80 × 224,485,894.80
  4. Step 4: Simplify right side
    253,711,213.20x = 85,431,883,073,993,360
  5. Step 5: Solve for x
    x = 85,431,883,073,993,360/253,711,213.20
  6. Step 6: Final answer
    x = 336,728,842.20

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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.