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Finding the Fourth Proportional to 147,380,235.80, 220,645,200.90 and 147,380,235.80

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Solution

The fourth proportional to 147,380,235.80, 220,645,200.90 and 147,380,235.80 is: 220,645,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,380,235.80 : 220,645,200.90 = 147,380,235.80 : x
  2. Step 2: Convert to fraction form
    147,380,235.80/220,645,200.90 = 147,380,235.80/x
  3. Step 3: Cross multiply
    147,380,235.80x = 220,645,200.90 × 147,380,235.80
  4. Step 4: Simplify right side
    147,380,235.80x = 32,518,741,736,780,376
  5. Step 5: Solve for x
    x = 32,518,741,736,780,376/147,380,235.80
  6. Step 6: Final answer
    x = 220,645,200.90

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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.