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Finding the Fourth Proportional to 192,489,872.80, 288,734,809.20 and 147,140,240.80

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Solution

The fourth proportional to 192,489,872.80, 288,734,809.20 and 147,140,240.80 is: 220,710,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,489,872.80 : 288,734,809.20 = 147,140,240.80 : x
  2. Step 2: Convert to fraction form
    192,489,872.80/288,734,809.20 = 147,140,240.80/x
  3. Step 3: Cross multiply
    192,489,872.80x = 288,734,809.20 × 147,140,240.80
  4. Step 4: Simplify right side
    192,489,872.80x = 42,484,509,353,030,056
  5. Step 5: Solve for x
    x = 42,484,509,353,030,056/192,489,872.80
  6. Step 6: Final answer
    x = 220,710,361.20

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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.