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Finding the Fourth Proportional to 75,314,999.80, 112,972,499.70 and 75,314,999.80

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Solution

The fourth proportional to 75,314,999.80, 112,972,499.70 and 75,314,999.80 is: 112,972,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314,999.80 : 112,972,499.70 = 75,314,999.80 : x
  2. Step 2: Convert to fraction form
    75,314,999.80/112,972,499.70 = 75,314,999.80/x
  3. Step 3: Cross multiply
    75,314,999.80x = 112,972,499.70 × 75,314,999.80
  4. Step 4: Simplify right side
    75,314,999.80x = 8,508,523,792,311,000
  5. Step 5: Solve for x
    x = 8,508,523,792,311,000/75,314,999.80
  6. Step 6: Final answer
    x = 112,972,499.70

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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.