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Finding the Fourth Proportional to 180,171,693.80, 270,257,540.70 and 180,171,693.80

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Solution

The fourth proportional to 180,171,693.80, 270,257,540.70 and 180,171,693.80 is: 270,257,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,171,693.80 : 270,257,540.70 = 180,171,693.80 : x
  2. Step 2: Convert to fraction form
    180,171,693.80/270,257,540.70 = 180,171,693.80/x
  3. Step 3: Cross multiply
    180,171,693.80x = 270,257,540.70 × 180,171,693.80
  4. Step 4: Simplify right side
    180,171,693.80x = 48,692,758,870,141,440
  5. Step 5: Solve for x
    x = 48,692,758,870,141,440/180,171,693.80
  6. Step 6: Final answer
    x = 270,257,540.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.