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Finding the Fourth Proportional to 7,150,872,049.70, 10,726,308,074.55 and 7,150,872,049.70

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Solution

The fourth proportional to 7,150,872,049.70, 10,726,308,074.55 and 7,150,872,049.70 is: 10,726,308,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150,872,049.70 : 10,726,308,074.55 = 7,150,872,049.70 : x
  2. Step 2: Convert to fraction form
    7,150,872,049.70/10,726,308,074.55 = 7,150,872,049.70/x
  3. Step 3: Cross multiply
    7,150,872,049.70x = 10,726,308,074.55 × 7,150,872,049.70
  4. Step 4: Simplify right side
    7,150,872,049.70x = 76,702,456,606,771,003,392
  5. Step 5: Solve for x
    x = 76,702,456,606,771,003,392/7,150,872,049.70
  6. Step 6: Final answer
    x = 10,726,308,074.55

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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.