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Finding the Fourth Proportional to 979,776,006.20, 1,469,664,009.30 and 880,006,815.80

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Solution

The fourth proportional to 979,776,006.20, 1,469,664,009.30 and 880,006,815.80 is: 1,320,010,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,776,006.20 : 1,469,664,009.30 = 880,006,815.80 : x
  2. Step 2: Convert to fraction form
    979,776,006.20/1,469,664,009.30 = 880,006,815.80/x
  3. Step 3: Cross multiply
    979,776,006.20x = 1,469,664,009.30 × 880,006,815.80
  4. Step 4: Simplify right side
    979,776,006.20x = 1,293,314,345,119,954,432
  5. Step 5: Solve for x
    x = 1,293,314,345,119,954,432/979,776,006.20
  6. Step 6: Final answer
    x = 1,320,010,223.70

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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.