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Finding the Fourth Proportional to 523,008,458.40, 784,512,687.60 and 341,609,930.40

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Solution

The fourth proportional to 523,008,458.40, 784,512,687.60 and 341,609,930.40 is: 512,414,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,008,458.40 : 784,512,687.60 = 341,609,930.40 : x
  2. Step 2: Convert to fraction form
    523,008,458.40/784,512,687.60 = 341,609,930.40/x
  3. Step 3: Cross multiply
    523,008,458.40x = 784,512,687.60 × 341,609,930.40
  4. Step 4: Simplify right side
    523,008,458.40x = 267,997,324,608,952,928
  5. Step 5: Solve for x
    x = 267,997,324,608,952,928/523,008,458.40
  6. Step 6: Final answer
    x = 512,414,895.60

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1.5x scale

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.