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Finding the Fourth Proportional to 2,003,375,561,640.90, 3,005,063,342,461 and 2,003,375,561,640.90

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Solution

The fourth proportional to 2,003,375,561,640.90, 3,005,063,342,461 and 2,003,375,561,640.90 is: 3,005,063,342,461

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,375,561,640.90 : 3,005,063,342,461 = 2,003,375,561,640.90 : x
  2. Step 2: Convert to fraction form
    2,003,375,561,640.90/3,005,063,342,461 = 2,003,375,561,640.90/x
  3. Step 3: Cross multiply
    2,003,375,561,640.90x = 3,005,063,342,461 × 2,003,375,561,640.90
  4. Step 4: Simplify right side
    2,003,375,561,640.90x = 6,020,270,461,469,285,584,732,160
  5. Step 5: Solve for x
    x = 6,020,270,461,469,285,584,732,160/2,003,375,561,640.90
  6. Step 6: Final answer
    x = 3,005,063,342,461

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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.