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Finding the Fourth Proportional to 1,760,132,592,857.90, 2,640,198,889,287 and 1,760,132,592,857.90

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Solution

The fourth proportional to 1,760,132,592,857.90, 2,640,198,889,287 and 1,760,132,592,857.90 is: 2,640,198,889,287

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,132,592,857.90 : 2,640,198,889,287 = 1,760,132,592,857.90 : x
  2. Step 2: Convert to fraction form
    1,760,132,592,857.90/2,640,198,889,287 = 1,760,132,592,857.90/x
  3. Step 3: Cross multiply
    1,760,132,592,857.90x = 2,640,198,889,287 × 1,760,132,592,857.90
  4. Step 4: Simplify right side
    1,760,132,592,857.90x = 4,647,100,116,661,274,784,301,056
  5. Step 5: Solve for x
    x = 4,647,100,116,661,274,784,301,056/1,760,132,592,857.90
  6. Step 6: Final answer
    x = 2,640,198,889,287

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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.