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Finding the Fourth Proportional to 180,943,270.20, 271,414,905.30 and 180,943,270.20

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Solution

The fourth proportional to 180,943,270.20, 271,414,905.30 and 180,943,270.20 is: 271,414,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,943,270.20 : 271,414,905.30 = 180,943,270.20 : x
  2. Step 2: Convert to fraction form
    180,943,270.20/271,414,905.30 = 180,943,270.20/x
  3. Step 3: Cross multiply
    180,943,270.20x = 271,414,905.30 × 180,943,270.20
  4. Step 4: Simplify right side
    180,943,270.20x = 49,110,700,546,005,312
  5. Step 5: Solve for x
    x = 49,110,700,546,005,312/180,943,270.20
  6. Step 6: Final answer
    x = 271,414,905.30

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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.