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Finding the Fourth Proportional to 31,493,500.80, 47,156,270.40 and 31,493,500.80

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Solution

The fourth proportional to 31,493,500.80, 47,156,270.40 and 31,493,500.80 is: 47,156,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493,500.80 : 47,156,270.40 = 31,493,500.80 : x
  2. Step 2: Convert to fraction form
    31,493,500.80/47,156,270.40 = 31,493,500.80/x
  3. Step 3: Cross multiply
    31,493,500.80x = 47,156,270.40 × 31,493,500.80
  4. Step 4: Simplify right side
    31,493,500.80x = 1,485,116,039,567,416.25
  5. Step 5: Solve for x
    x = 1,485,116,039,567,416.25/31,493,500.80
  6. Step 6: Final answer
    x = 47,156,270.40

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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.