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Finding the Fourth Proportional to 617,180,150,147.85, 925,770,225,221.77 and 617,180,150,147.85

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Solution

The fourth proportional to 617,180,150,147.85, 925,770,225,221.77 and 617,180,150,147.85 is: 925,770,225,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,180,150,147.85 : 925,770,225,221.77 = 617,180,150,147.85 : x
  2. Step 2: Convert to fraction form
    617,180,150,147.85/925,770,225,221.77 = 617,180,150,147.85/x
  3. Step 3: Cross multiply
    617,180,150,147.85x = 925,770,225,221.77 × 617,180,150,147.85
  4. Step 4: Simplify right side
    617,180,150,147.85x = 571,367,006,604,780,923,518,976
  5. Step 5: Solve for x
    x = 571,367,006,604,780,923,518,976/617,180,150,147.85
  6. Step 6: Final answer
    x = 925,770,225,221.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.