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Finding the Fourth Proportional to 84,200,671.70, 126,301,007.55 and 84,200,671.70

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Solution

The fourth proportional to 84,200,671.70, 126,301,007.55 and 84,200,671.70 is: 126,301,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200,671.70 : 126,301,007.55 = 84,200,671.70 : x
  2. Step 2: Convert to fraction form
    84,200,671.70/126,301,007.55 = 84,200,671.70/x
  3. Step 3: Cross multiply
    84,200,671.70x = 126,301,007.55 × 84,200,671.70
  4. Step 4: Simplify right side
    84,200,671.70x = 10,634,629,672,096,772
  5. Step 5: Solve for x
    x = 10,634,629,672,096,772/84,200,671.70
  6. Step 6: Final answer
    x = 126,301,007.55

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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.