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Finding the Fourth Proportional to 109,992,987.80, 164,989,481.70 and 49,526,811.80

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Solution

The fourth proportional to 109,992,987.80, 164,989,481.70 and 49,526,811.80 is: 74,290,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,992,987.80 : 164,989,481.70 = 49,526,811.80 : x
  2. Step 2: Convert to fraction form
    109,992,987.80/164,989,481.70 = 49,526,811.80/x
  3. Step 3: Cross multiply
    109,992,987.80x = 164,989,481.70 × 49,526,811.80
  4. Step 4: Simplify right side
    109,992,987.80x = 8,171,403,009,135,443
  5. Step 5: Solve for x
    x = 8,171,403,009,135,443/109,992,987.80
  6. Step 6: Final answer
    x = 74,290,217.70

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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.