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Finding the Fourth Proportional to 343,826,253,918.45, 515,739,380,877.68 and 343,826,253,918.45

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Solution

The fourth proportional to 343,826,253,918.45, 515,739,380,877.68 and 343,826,253,918.45 is: 515,739,380,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,826,253,918.45 : 515,739,380,877.68 = 343,826,253,918.45 : x
  2. Step 2: Convert to fraction form
    343,826,253,918.45/515,739,380,877.68 = 343,826,253,918.45/x
  3. Step 3: Cross multiply
    343,826,253,918.45x = 515,739,380,877.68 × 343,826,253,918.45
  4. Step 4: Simplify right side
    343,826,253,918.45x = 177,324,739,325,393,396,301,824
  5. Step 5: Solve for x
    x = 177,324,739,325,393,396,301,824/343,826,253,918.45
  6. Step 6: Final answer
    x = 515,739,380,877.68

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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.