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Finding the Fourth Proportional to 1,842,410,374.83, 2,766,067,255.98 and 969,624,654.48

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Solution

The fourth proportional to 1,842,410,374.83, 2,766,067,255.98 and 969,624,654.48 is: 1,455,727,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,410,374.83 : 2,766,067,255.98 = 969,624,654.48 : x
  2. Step 2: Convert to fraction form
    1,842,410,374.83/2,766,067,255.98 = 969,624,654.48/x
  3. Step 3: Cross multiply
    1,842,410,374.83x = 2,766,067,255.98 × 969,624,654.48
  4. Step 4: Simplify right side
    1,842,410,374.83x = 2,682,047,007,348,049,408
  5. Step 5: Solve for x
    x = 2,682,047,007,348,049,408/1,842,410,374.83
  6. Step 6: Final answer
    x = 1,455,727,260.33

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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.