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Finding the Fourth Proportional to 2,003,375,561,640.80, 3,005,063,342,461 and 2,003,375,561,640.80

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Solution

The fourth proportional to 2,003,375,561,640.80, 3,005,063,342,461 and 2,003,375,561,640.80 is: 3,005,063,342,461

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,375,561,640.80 : 3,005,063,342,461 = 2,003,375,561,640.80 : x
  2. Step 2: Convert to fraction form
    2,003,375,561,640.80/3,005,063,342,461 = 2,003,375,561,640.80/x
  3. Step 3: Cross multiply
    2,003,375,561,640.80x = 3,005,063,342,461 × 2,003,375,561,640.80
  4. Step 4: Simplify right side
    2,003,375,561,640.80x = 6,020,270,461,468,986,010,763,264
  5. Step 5: Solve for x
    x = 6,020,270,461,468,986,010,763,264/2,003,375,561,640.80
  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.