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Finding the Fourth Proportional to 2,328,941,567,398.30, 3,493,412,351,097.70 and 2,328,941,567,398.30

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Solution

The fourth proportional to 2,328,941,567,398.30, 3,493,412,351,097.70 and 2,328,941,567,398.30 is: 3,493,412,351,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328,941,567,398.30 : 3,493,412,351,097.70 = 2,328,941,567,398.30 : x
  2. Step 2: Convert to fraction form
    2,328,941,567,398.30/3,493,412,351,097.70 = 2,328,941,567,398.30/x
  3. Step 3: Cross multiply
    2,328,941,567,398.30x = 3,493,412,351,097.70 × 2,328,941,567,398.30
  4. Step 4: Simplify right side
    2,328,941,567,398.30x = 8,135,953,236,534,057,832,022,016
  5. Step 5: Solve for x
    x = 8,135,953,236,534,057,832,022,016/2,328,941,567,398.30
  6. Step 6: Final answer
    x = 3,493,412,351,097.70

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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.