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Finding the Fourth Proportional to 825,165,544.86, 1,140,361,599.87 and 676,251,840.06

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Solution

The fourth proportional to 825,165,544.86, 1,140,361,599.87 and 676,251,840.06 is: 934,565,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,165,544.86 : 1,140,361,599.87 = 676,251,840.06 : x
  2. Step 2: Convert to fraction form
    825,165,544.86/1,140,361,599.87 = 676,251,840.06/x
  3. Step 3: Cross multiply
    825,165,544.86x = 1,140,361,599.87 × 676,251,840.06
  4. Step 4: Simplify right side
    825,165,544.86x = 771,171,630,245,852,800
  5. Step 5: Solve for x
    x = 771,171,630,245,852,800/825,165,544.86
  6. Step 6: Final answer
    x = 934,565,960.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.