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Finding the Fourth Proportional to 1,328,546,772.70, 1,992,820,159.06 and 1,328,546,772.70

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Solution

The fourth proportional to 1,328,546,772.70, 1,992,820,159.06 and 1,328,546,772.70 is: 1,992,820,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,546,772.70 : 1,992,820,159.06 = 1,328,546,772.70 : x
  2. Step 2: Convert to fraction form
    1,328,546,772.70/1,992,820,159.06 = 1,328,546,772.70/x
  3. Step 3: Cross multiply
    1,328,546,772.70x = 1,992,820,159.06 × 1,328,546,772.70
  4. Step 4: Simplify right side
    1,328,546,772.70x = 2,647,554,790,890,663,936
  5. Step 5: Solve for x
    x = 2,647,554,790,890,663,936/1,328,546,772.70
  6. Step 6: Final answer
    x = 1,992,820,159.06

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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.