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Finding the Fourth Proportional to 178,025,230.80, 267,037,846.20 and 178,025,230.80

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Solution

The fourth proportional to 178,025,230.80, 267,037,846.20 and 178,025,230.80 is: 267,037,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,025,230.80 : 267,037,846.20 = 178,025,230.80 : x
  2. Step 2: Convert to fraction form
    178,025,230.80/267,037,846.20 = 178,025,230.80/x
  3. Step 3: Cross multiply
    178,025,230.80x = 267,037,846.20 × 178,025,230.80
  4. Step 4: Simplify right side
    178,025,230.80x = 47,539,474,202,089,904
  5. Step 5: Solve for x
    x = 47,539,474,202,089,904/178,025,230.80
  6. Step 6: Final answer
    x = 267,037,846.20

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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.