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Finding the Fourth Proportional to 192,967,209.60, 270,870,729.60 and 192,967,209.60

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Solution

The fourth proportional to 192,967,209.60, 270,870,729.60 and 192,967,209.60 is: 270,870,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,967,209.60 : 270,870,729.60 = 192,967,209.60 : x
  2. Step 2: Convert to fraction form
    192,967,209.60/270,870,729.60 = 192,967,209.60/x
  3. Step 3: Cross multiply
    192,967,209.60x = 270,870,729.60 × 192,967,209.60
  4. Step 4: Simplify right side
    192,967,209.60x = 52,269,168,853,228,128
  5. Step 5: Solve for x
    x = 52,269,168,853,228,128/192,967,209.60
  6. Step 6: Final answer
    x = 270,870,729.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.