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Finding the Fourth Proportional to 10,930,297.70, 16,365,955.35 and 10,930,297.70

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Solution

The fourth proportional to 10,930,297.70, 16,365,955.35 and 10,930,297.70 is: 16,365,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930,297.70 : 16,365,955.35 = 10,930,297.70 : x
  2. Step 2: Convert to fraction form
    10,930,297.70/16,365,955.35 = 10,930,297.70/x
  3. Step 3: Cross multiply
    10,930,297.70x = 16,365,955.35 × 10,930,297.70
  4. Step 4: Simplify right side
    10,930,297.70x = 178,884,764,120,407.69
  5. Step 5: Solve for x
    x = 178,884,764,120,407.69/10,930,297.70
  6. Step 6: Final answer
    x = 16,365,955.35

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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.