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Finding the Fourth Proportional to 120,302,500,793.85, 180,453,751,190.78 and 120,302,500,793.85

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Solution

The fourth proportional to 120,302,500,793.85, 180,453,751,190.78 and 120,302,500,793.85 is: 180,453,751,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,302,500,793.85 : 180,453,751,190.78 = 120,302,500,793.85 : x
  2. Step 2: Convert to fraction form
    120,302,500,793.85/180,453,751,190.78 = 120,302,500,793.85/x
  3. Step 3: Cross multiply
    120,302,500,793.85x = 180,453,751,190.78 × 120,302,500,793.85
  4. Step 4: Simplify right side
    120,302,500,793.85x = 21,709,037,545,882,021,527,552
  5. Step 5: Solve for x
    x = 21,709,037,545,882,021,527,552/120,302,500,793.85
  6. Step 6: Final answer
    x = 180,453,751,190.78

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1.5x scale

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.