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Finding the Fourth Proportional to 178,123,297.80, 266,759,793.90 and 178,123,297.80

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Solution

The fourth proportional to 178,123,297.80, 266,759,793.90 and 178,123,297.80 is: 266,759,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123,297.80 : 266,759,793.90 = 178,123,297.80 : x
  2. Step 2: Convert to fraction form
    178,123,297.80/266,759,793.90 = 178,123,297.80/x
  3. Step 3: Cross multiply
    178,123,297.80x = 266,759,793.90 × 178,123,297.80
  4. Step 4: Simplify right side
    178,123,297.80x = 47,516,134,209,916,328
  5. Step 5: Solve for x
    x = 47,516,134,209,916,328/178,123,297.80
  6. Step 6: Final answer
    x = 266,759,793.90

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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.