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Finding the Fourth Proportional to 687,995,106.70, 965,914,127.30 and 687,995,106.70

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Solution

The fourth proportional to 687,995,106.70, 965,914,127.30 and 687,995,106.70 is: 965,914,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,995,106.70 : 965,914,127.30 = 687,995,106.70 : x
  2. Step 2: Convert to fraction form
    687,995,106.70/965,914,127.30 = 687,995,106.70/x
  3. Step 3: Cross multiply
    687,995,106.70x = 965,914,127.30 × 687,995,106.70
  4. Step 4: Simplify right side
    687,995,106.70x = 664,544,193,074,800,896
  5. Step 5: Solve for x
    x = 664,544,193,074,800,896/687,995,106.70
  6. Step 6: Final answer
    x = 965,914,127.30

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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.