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Finding the Fourth Proportional to 776,923,291.20, 1,165,384,936.80 and 776,923,291.20

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Solution

The fourth proportional to 776,923,291.20, 1,165,384,936.80 and 776,923,291.20 is: 1,165,384,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,923,291.20 : 1,165,384,936.80 = 776,923,291.20 : x
  2. Step 2: Convert to fraction form
    776,923,291.20/1,165,384,936.80 = 776,923,291.20/x
  3. Step 3: Cross multiply
    776,923,291.20x = 1,165,384,936.80 × 776,923,291.20
  4. Step 4: Simplify right side
    776,923,291.20x = 905,414,700,613,560,064
  5. Step 5: Solve for x
    x = 905,414,700,613,560,064/776,923,291.20
  6. Step 6: Final answer
    x = 1,165,384,936.80

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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.