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Finding the Fourth Proportional to 259,490,830,496.40, 389,236,245,744.60 and 259,490,830,496.40

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Solution

The fourth proportional to 259,490,830,496.40, 389,236,245,744.60 and 259,490,830,496.40 is: 389,236,245,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,490,830,496.40 : 389,236,245,744.60 = 259,490,830,496.40 : x
  2. Step 2: Convert to fraction form
    259,490,830,496.40/389,236,245,744.60 = 259,490,830,496.40/x
  3. Step 3: Cross multiply
    259,490,830,496.40x = 389,236,245,744.60 × 259,490,830,496.40
  4. Step 4: Simplify right side
    259,490,830,496.40x = 101,003,236,667,567,080,734,720
  5. Step 5: Solve for x
    x = 101,003,236,667,567,080,734,720/259,490,830,496.40
  6. Step 6: Final answer
    x = 389,236,245,744.60

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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.