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Finding the Fourth Proportional to 180,171,948.80, 270,257,923.20 and 180,171,948.80

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Solution

The fourth proportional to 180,171,948.80, 270,257,923.20 and 180,171,948.80 is: 270,257,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,171,948.80 : 270,257,923.20 = 180,171,948.80 : x
  2. Step 2: Convert to fraction form
    180,171,948.80/270,257,923.20 = 180,171,948.80/x
  3. Step 3: Cross multiply
    180,171,948.80x = 270,257,923.20 × 180,171,948.80
  4. Step 4: Simplify right side
    180,171,948.80x = 48,692,896,701,584,736
  5. Step 5: Solve for x
    x = 48,692,896,701,584,736/180,171,948.80
  6. Step 6: Final answer
    x = 270,257,923.20

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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.