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Finding the Fourth Proportional to 263,815,296,000.10, 395,722,944,000.15 and 263,815,296,000.10

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Solution

The fourth proportional to 263,815,296,000.10, 395,722,944,000.15 and 263,815,296,000.10 is: 395,722,944,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,815,296,000.10 : 395,722,944,000.15 = 263,815,296,000.10 : x
  2. Step 2: Convert to fraction form
    263,815,296,000.10/395,722,944,000.15 = 263,815,296,000.10/x
  3. Step 3: Cross multiply
    263,815,296,000.10x = 395,722,944,000.15 × 263,815,296,000.10
  4. Step 4: Simplify right side
    263,815,296,000.10x = 104,397,765,605,430,581,526,528
  5. Step 5: Solve for x
    x = 104,397,765,605,430,581,526,528/263,815,296,000.10
  6. Step 6: Final answer
    x = 395,722,944,000.15

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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.