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Finding the Fourth Proportional to 84,123,000.20, 117,942,261.40 and 84,123,000.20

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Solution

The fourth proportional to 84,123,000.20, 117,942,261.40 and 84,123,000.20 is: 117,942,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123,000.20 : 117,942,261.40 = 84,123,000.20 : x
  2. Step 2: Convert to fraction form
    84,123,000.20/117,942,261.40 = 84,123,000.20/x
  3. Step 3: Cross multiply
    84,123,000.20x = 117,942,261.40 × 84,123,000.20
  4. Step 4: Simplify right side
    84,123,000.20x = 9,921,656,879,340,654
  5. Step 5: Solve for x
    x = 9,921,656,879,340,654/84,123,000.20
  6. Step 6: Final answer
    x = 117,942,261.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.