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Finding the Fourth Proportional to 94,125,180,469.45, 141,187,770,704.17 and 94,125,180,469.45

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Solution

The fourth proportional to 94,125,180,469.45, 141,187,770,704.17 and 94,125,180,469.45 is: 141,187,770,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,125,180,469.45 : 141,187,770,704.17 = 94,125,180,469.45 : x
  2. Step 2: Convert to fraction form
    94,125,180,469.45/141,187,770,704.17 = 94,125,180,469.45/x
  3. Step 3: Cross multiply
    94,125,180,469.45x = 141,187,770,704.17 × 94,125,180,469.45
  4. Step 4: Simplify right side
    94,125,180,469.45x = 13,289,324,397,609,328,050,176
  5. Step 5: Solve for x
    x = 13,289,324,397,609,328,050,176/94,125,180,469.45
  6. Step 6: Final answer
    x = 141,187,770,704.17

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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.