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Finding the Fourth Proportional to 10,930,296.70, 16,365,953.85 and 10,930,296.70

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Solution

The fourth proportional to 10,930,296.70, 16,365,953.85 and 10,930,296.70 is: 16,365,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930,296.70 : 16,365,953.85 = 10,930,296.70 : x
  2. Step 2: Convert to fraction form
    10,930,296.70/16,365,953.85 = 10,930,296.70/x
  3. Step 3: Cross multiply
    10,930,296.70x = 16,365,953.85 × 10,930,296.70
  4. Step 4: Simplify right side
    10,930,296.70x = 178,884,731,359,007.28
  5. Step 5: Solve for x
    x = 178,884,731,359,007.28/10,930,296.70
  6. Step 6: Final answer
    x = 16,365,953.85

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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.