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Finding the Fourth Proportional to 199,288,857.60, 298,980,525.60 and 102,259,540.80

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Solution

The fourth proportional to 199,288,857.60, 298,980,525.60 and 102,259,540.80 is: 153,413,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,288,857.60 : 298,980,525.60 = 102,259,540.80 : x
  2. Step 2: Convert to fraction form
    199,288,857.60/298,980,525.60 = 102,259,540.80/x
  3. Step 3: Cross multiply
    199,288,857.60x = 298,980,525.60 × 102,259,540.80
  4. Step 4: Simplify right side
    199,288,857.60x = 30,573,611,255,998,648
  5. Step 5: Solve for x
    x = 30,573,611,255,998,648/199,288,857.60
  6. Step 6: Final answer
    x = 153,413,550.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.