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Finding the Fourth Proportional to 687,998,431.70, 965,918,782.30 and 687,998,431.70

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Solution

The fourth proportional to 687,998,431.70, 965,918,782.30 and 687,998,431.70 is: 965,918,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,998,431.70 : 965,918,782.30 = 687,998,431.70 : x
  2. Step 2: Convert to fraction form
    687,998,431.70/965,918,782.30 = 687,998,431.70/x
  3. Step 3: Cross multiply
    687,998,431.70x = 965,918,782.30 × 687,998,431.70
  4. Step 4: Simplify right side
    687,998,431.70x = 664,550,607,371,973,760
  5. Step 5: Solve for x
    x = 664,550,607,371,973,760/687,998,431.70
  6. Step 6: Final answer
    x = 965,918,782.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.