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Finding the Fourth Proportional to 311,441,462.40, 467,162,193.60 and 311,441,462.40

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Solution

The fourth proportional to 311,441,462.40, 467,162,193.60 and 311,441,462.40 is: 467,162,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,441,462.40 : 467,162,193.60 = 311,441,462.40 : x
  2. Step 2: Convert to fraction form
    311,441,462.40/467,162,193.60 = 311,441,462.40/x
  3. Step 3: Cross multiply
    311,441,462.40x = 467,162,193.60 × 311,441,462.40
  4. Step 4: Simplify right side
    311,441,462.40x = 145,493,676,752,775,904
  5. Step 5: Solve for x
    x = 145,493,676,752,775,904/311,441,462.40
  6. Step 6: Final answer
    x = 467,162,193.60

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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.