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Finding the Fourth Proportional to 192,492,016.80, 288,738,025.20 and 149,493,847.20

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Solution

The fourth proportional to 192,492,016.80, 288,738,025.20 and 149,493,847.20 is: 224,240,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,492,016.80 : 288,738,025.20 = 149,493,847.20 : x
  2. Step 2: Convert to fraction form
    192,492,016.80/288,738,025.20 = 149,493,847.20/x
  3. Step 3: Cross multiply
    192,492,016.80x = 288,738,025.20 × 149,493,847.20
  4. Step 4: Simplify right side
    192,492,016.80x = 43,164,558,220,078,544
  5. Step 5: Solve for x
    x = 43,164,558,220,078,544/192,492,016.80
  6. Step 6: Final answer
    x = 224,240,770.80

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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.