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Finding the Fourth Proportional to 180,367,061.30, 270,550,591.95 and 180,367,061.30

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Solution

The fourth proportional to 180,367,061.30, 270,550,591.95 and 180,367,061.30 is: 270,550,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,367,061.30 : 270,550,591.95 = 180,367,061.30 : x
  2. Step 2: Convert to fraction form
    180,367,061.30/270,550,591.95 = 180,367,061.30/x
  3. Step 3: Cross multiply
    180,367,061.30x = 270,550,591.95 × 180,367,061.30
  4. Step 4: Simplify right side
    180,367,061.30x = 48,798,415,202,996,936
  5. Step 5: Solve for x
    x = 48,798,415,202,996,936/180,367,061.30
  6. Step 6: Final answer
    x = 270,550,591.95

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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.