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Finding the Fourth Proportional to 2,003,375,561,625.90, 3,005,063,342,438.80 and 2,003,375,561,625.90

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Solution

The fourth proportional to 2,003,375,561,625.90, 3,005,063,342,438.80 and 2,003,375,561,625.90 is: 3,005,063,342,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,375,561,625.90 : 3,005,063,342,438.80 = 2,003,375,561,625.90 : x
  2. Step 2: Convert to fraction form
    2,003,375,561,625.90/3,005,063,342,438.80 = 2,003,375,561,625.90/x
  3. Step 3: Cross multiply
    2,003,375,561,625.90x = 3,005,063,342,438.80 × 2,003,375,561,625.90
  4. Step 4: Simplify right side
    2,003,375,561,625.90x = 6,020,270,461,379,734,442,868,736
  5. Step 5: Solve for x
    x = 6,020,270,461,379,734,442,868,736/2,003,375,561,625.90
  6. Step 6: Final answer
    x = 3,005,063,342,438.80

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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.