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Finding the Fourth Proportional to 687,994,023.20, 965,912,610.40 and 687,994,023.20

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Solution

The fourth proportional to 687,994,023.20, 965,912,610.40 and 687,994,023.20 is: 965,912,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,994,023.20 : 965,912,610.40 = 687,994,023.20 : x
  2. Step 2: Convert to fraction form
    687,994,023.20/965,912,610.40 = 687,994,023.20/x
  3. Step 3: Cross multiply
    687,994,023.20x = 965,912,610.40 × 687,994,023.20
  4. Step 4: Simplify right side
    687,994,023.20x = 664,542,102,888,710,144
  5. Step 5: Solve for x
    x = 664,542,102,888,710,144/687,994,023.20
  6. Step 6: Final answer
    x = 965,912,610.40

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Why These Related Problems?

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