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Finding the Fourth Proportional to 17,389,930,856.30, 26,084,896,284.45 and 17,389,930,856.30

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Solution

The fourth proportional to 17,389,930,856.30, 26,084,896,284.45 and 17,389,930,856.30 is: 26,084,896,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389,930,856.30 : 26,084,896,284.45 = 17,389,930,856.30 : x
  2. Step 2: Convert to fraction form
    17,389,930,856.30/26,084,896,284.45 = 17,389,930,856.30/x
  3. Step 3: Cross multiply
    17,389,930,856.30x = 26,084,896,284.45 × 17,389,930,856.30
  4. Step 4: Simplify right side
    17,389,930,856.30x = 453,614,542,780,342,272,000
  5. Step 5: Solve for x
    x = 453,614,542,780,342,272,000/17,389,930,856.30
  6. Step 6: Final answer
    x = 26,084,896,284.45

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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.