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Finding the Fourth Proportional to 839,815,311.20, 1,259,722,966.80 and 768,389,640.80

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Solution

The fourth proportional to 839,815,311.20, 1,259,722,966.80 and 768,389,640.80 is: 1,152,584,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,815,311.20 : 1,259,722,966.80 = 768,389,640.80 : x
  2. Step 2: Convert to fraction form
    839,815,311.20/1,259,722,966.80 = 768,389,640.80/x
  3. Step 3: Cross multiply
    839,815,311.20x = 1,259,722,966.80 × 768,389,640.80
  4. Step 4: Simplify right side
    839,815,311.20x = 967,958,077,966,962,176
  5. Step 5: Solve for x
    x = 967,958,077,966,962,176/839,815,311.20
  6. Step 6: Final answer
    x = 1,152,584,461.20

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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.