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Finding the Fourth Proportional to 55,331,311.70, 82,847,668.34 and 55,331,311.70

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Solution

The fourth proportional to 55,331,311.70, 82,847,668.34 and 55,331,311.70 is: 82,847,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,331,311.70 : 82,847,668.34 = 55,331,311.70 : x
  2. Step 2: Convert to fraction form
    55,331,311.70/82,847,668.34 = 55,331,311.70/x
  3. Step 3: Cross multiply
    55,331,311.70x = 82,847,668.34 × 55,331,311.70
  4. Step 4: Simplify right side
    55,331,311.70x = 4,584,070,160,538,762
  5. Step 5: Solve for x
    x = 4,584,070,160,538,762/55,331,311.70
  6. Step 6: Final answer
    x = 82,847,668.34

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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.