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Finding the Fourth Proportional to 180,171,690.30, 270,257,535.45 and 180,171,690.30

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Solution

The fourth proportional to 180,171,690.30, 270,257,535.45 and 180,171,690.30 is: 270,257,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,171,690.30 : 270,257,535.45 = 180,171,690.30 : x
  2. Step 2: Convert to fraction form
    180,171,690.30/270,257,535.45 = 180,171,690.30/x
  3. Step 3: Cross multiply
    180,171,690.30x = 270,257,535.45 × 180,171,690.30
  4. Step 4: Simplify right side
    180,171,690.30x = 48,692,756,978,338,672
  5. Step 5: Solve for x
    x = 48,692,756,978,338,672/180,171,690.30
  6. Step 6: Final answer
    x = 270,257,535.45

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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.