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Finding the Fourth Proportional to 682,757,135.40, 1,024,135,703.10 and 682,757,135.40

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Solution

The fourth proportional to 682,757,135.40, 1,024,135,703.10 and 682,757,135.40 is: 1,024,135,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,757,135.40 : 1,024,135,703.10 = 682,757,135.40 : x
  2. Step 2: Convert to fraction form
    682,757,135.40/1,024,135,703.10 = 682,757,135.40/x
  3. Step 3: Cross multiply
    682,757,135.40x = 1,024,135,703.10 × 682,757,135.40
  4. Step 4: Simplify right side
    682,757,135.40x = 699,235,958,909,420,928
  5. Step 5: Solve for x
    x = 699,235,958,909,420,928/682,757,135.40
  6. Step 6: Final answer
    x = 1,024,135,703.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.