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Finding the Fourth Proportional to 2,003,375,561,646.20, 3,005,063,342,469.20 and 2,003,375,561,646.20

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Solution

The fourth proportional to 2,003,375,561,646.20, 3,005,063,342,469.20 and 2,003,375,561,646.20 is: 3,005,063,342,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,375,561,646.20 : 3,005,063,342,469.20 = 2,003,375,561,646.20 : x
  2. Step 2: Convert to fraction form
    2,003,375,561,646.20/3,005,063,342,469.20 = 2,003,375,561,646.20/x
  3. Step 3: Cross multiply
    2,003,375,561,646.20x = 3,005,063,342,469.20 × 2,003,375,561,646.20
  4. Step 4: Simplify right side
    2,003,375,561,646.20x = 6,020,270,461,501,640,647,114,752
  5. Step 5: Solve for x
    x = 6,020,270,461,501,640,647,114,752/2,003,375,561,646.20
  6. Step 6: Final answer
    x = 3,005,063,342,469.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.