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Finding the Fourth Proportional to 278,268,542.40, 417,276,842.40 and 105,687,998.40

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Solution

The fourth proportional to 278,268,542.40, 417,276,842.40 and 105,687,998.40 is: 158,484,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,268,542.40 : 417,276,842.40 = 105,687,998.40 : x
  2. Step 2: Convert to fraction form
    278,268,542.40/417,276,842.40 = 105,687,998.40/x
  3. Step 3: Cross multiply
    278,268,542.40x = 417,276,842.40 × 105,687,998.40
  4. Step 4: Simplify right side
    278,268,542.40x = 44,101,154,251,928,256
  5. Step 5: Solve for x
    x = 44,101,154,251,928,256/278,268,542.40
  6. Step 6: Final answer
    x = 158,484,153.01

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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.