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Finding the Fourth Proportional to 274,479,082.80, 412,037,488.80 and 165,427,389.60

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Solution

The fourth proportional to 274,479,082.80, 412,037,488.80 and 165,427,389.60 is: 248,333,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,479,082.80 : 412,037,488.80 = 165,427,389.60 : x
  2. Step 2: Convert to fraction form
    274,479,082.80/412,037,488.80 = 165,427,389.60/x
  3. Step 3: Cross multiply
    274,479,082.80x = 412,037,488.80 × 165,427,389.60
  4. Step 4: Simplify right side
    274,479,082.80x = 68,162,286,189,523,232
  5. Step 5: Solve for x
    x = 68,162,286,189,523,232/274,479,082.80
  6. Step 6: Final answer
    x = 248,333,262.75

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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.