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Finding the Fourth Proportional to 31,715,101.20, 44,305,482.30 and 31,715,101.20

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Solution

The fourth proportional to 31,715,101.20, 44,305,482.30 and 31,715,101.20 is: 44,305,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715,101.20 : 44,305,482.30 = 31,715,101.20 : x
  2. Step 2: Convert to fraction form
    31,715,101.20/44,305,482.30 = 31,715,101.20/x
  3. Step 3: Cross multiply
    31,715,101.20x = 44,305,482.30 × 31,715,101.20
  4. Step 4: Simplify right side
    31,715,101.20x = 1,405,152,854,859,308.75
  5. Step 5: Solve for x
    x = 1,405,152,854,859,308.75/31,715,101.20
  6. Step 6: Final answer
    x = 44,305,482.30

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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.