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Finding the Fourth Proportional to 2,645,998,698.50, 3,969,595,993.89 and 875,365,264.27

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Solution

The fourth proportional to 2,645,998,698.50, 3,969,595,993.89 and 875,365,264.27 is: 1,313,245,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,998,698.50 : 3,969,595,993.89 = 875,365,264.27 : x
  2. Step 2: Convert to fraction form
    2,645,998,698.50/3,969,595,993.89 = 875,365,264.27/x
  3. Step 3: Cross multiply
    2,645,998,698.50x = 3,969,595,993.89 × 875,365,264.27
  4. Step 4: Simplify right side
    2,645,998,698.50x = 3,474,846,446,216,804,864
  5. Step 5: Solve for x
    x = 3,474,846,446,216,804,864/2,645,998,698.50
  6. Step 6: Final answer
    x = 1,313,245,712.55

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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.