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Finding the Fourth Proportional to 6,551,008,092.30, 9,826,512,138.45 and 6,551,008,092.30

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Solution

The fourth proportional to 6,551,008,092.30, 9,826,512,138.45 and 6,551,008,092.30 is: 9,826,512,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,008,092.30 : 9,826,512,138.45 = 6,551,008,092.30 : x
  2. Step 2: Convert to fraction form
    6,551,008,092.30/9,826,512,138.45 = 6,551,008,092.30/x
  3. Step 3: Cross multiply
    6,551,008,092.30x = 9,826,512,138.45 × 6,551,008,092.30
  4. Step 4: Simplify right side
    6,551,008,092.30x = 64,373,560,538,070,138,880
  5. Step 5: Solve for x
    x = 64,373,560,538,070,138,880/6,551,008,092.30
  6. Step 6: Final answer
    x = 9,826,512,138.45

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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.