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Finding the Fourth Proportional to 51,206,923.80, 76,810,385.70 and 51,206,923.80

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Solution

The fourth proportional to 51,206,923.80, 76,810,385.70 and 51,206,923.80 is: 76,810,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206,923.80 : 76,810,385.70 = 51,206,923.80 : x
  2. Step 2: Convert to fraction form
    51,206,923.80/76,810,385.70 = 51,206,923.80/x
  3. Step 3: Cross multiply
    51,206,923.80x = 76,810,385.70 × 51,206,923.80
  4. Step 4: Simplify right side
    51,206,923.80x = 3,933,223,567,588,509.50
  5. Step 5: Solve for x
    x = 3,933,223,567,588,509.50/51,206,923.80
  6. Step 6: Final answer
    x = 76,810,385.70

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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.