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Finding the Fourth Proportional to 8,189,667,069.90, 12,284,500,604.85 and 8,189,667,069.90

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Solution

The fourth proportional to 8,189,667,069.90, 12,284,500,604.85 and 8,189,667,069.90 is: 12,284,500,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189,667,069.90 : 12,284,500,604.85 = 8,189,667,069.90 : x
  2. Step 2: Convert to fraction form
    8,189,667,069.90/12,284,500,604.85 = 8,189,667,069.90/x
  3. Step 3: Cross multiply
    8,189,667,069.90x = 12,284,500,604.85 × 8,189,667,069.90
  4. Step 4: Simplify right side
    8,189,667,069.90x = 100,605,970,073,706,676,224
  5. Step 5: Solve for x
    x = 100,605,970,073,706,676,224/8,189,667,069.90
  6. Step 6: Final answer
    x = 12,284,500,604.85

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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.