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Finding the Fourth Proportional to 78,857,209.70, 118,285,814.55 and 78,857,209.70

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Solution

The fourth proportional to 78,857,209.70, 118,285,814.55 and 78,857,209.70 is: 118,285,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857,209.70 : 118,285,814.55 = 78,857,209.70 : x
  2. Step 2: Convert to fraction form
    78,857,209.70/118,285,814.55 = 78,857,209.70/x
  3. Step 3: Cross multiply
    78,857,209.70x = 118,285,814.55 × 78,857,209.70
  4. Step 4: Simplify right side
    78,857,209.70x = 9,327,689,282,504,662
  5. Step 5: Solve for x
    x = 9,327,689,282,504,662/78,857,209.70
  6. Step 6: Final answer
    x = 118,285,814.55

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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.