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Finding the Fourth Proportional to 800,341,207.60, 1,200,511,811.40 and 664,292,311.60

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Solution

The fourth proportional to 800,341,207.60, 1,200,511,811.40 and 664,292,311.60 is: 996,438,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,341,207.60 : 1,200,511,811.40 = 664,292,311.60 : x
  2. Step 2: Convert to fraction form
    800,341,207.60/1,200,511,811.40 = 664,292,311.60/x
  3. Step 3: Cross multiply
    800,341,207.60x = 1,200,511,811.40 × 664,292,311.60
  4. Step 4: Simplify right side
    800,341,207.60x = 797,490,766,298,009,344
  5. Step 5: Solve for x
    x = 797,490,766,298,009,344/800,341,207.60
  6. Step 6: Final answer
    x = 996,438,467.40

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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.