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Finding the Fourth Proportional to 311,441,462.90, 467,162,194.35 and 311,441,462.90

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Solution

The fourth proportional to 311,441,462.90, 467,162,194.35 and 311,441,462.90 is: 467,162,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,441,462.90 : 467,162,194.35 = 311,441,462.90 : x
  2. Step 2: Convert to fraction form
    311,441,462.90/467,162,194.35 = 311,441,462.90/x
  3. Step 3: Cross multiply
    311,441,462.90x = 467,162,194.35 × 311,441,462.90
  4. Step 4: Simplify right side
    311,441,462.90x = 145,493,677,219,938,112
  5. Step 5: Solve for x
    x = 145,493,677,219,938,112/311,441,462.90
  6. Step 6: Final answer
    x = 467,162,194.35

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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.