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Finding the Fourth Proportional to 25,468,558,493.20, 38,202,837,739.80 and 25,468,558,493.20

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Solution

The fourth proportional to 25,468,558,493.20, 38,202,837,739.80 and 25,468,558,493.20 is: 38,202,837,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468,558,493.20 : 38,202,837,739.80 = 25,468,558,493.20 : x
  2. Step 2: Convert to fraction form
    25,468,558,493.20/38,202,837,739.80 = 25,468,558,493.20/x
  3. Step 3: Cross multiply
    25,468,558,493.20x = 38,202,837,739.80 × 25,468,558,493.20
  4. Step 4: Simplify right side
    25,468,558,493.20x = 972,971,207,582,324,883,456
  5. Step 5: Solve for x
    x = 972,971,207,582,324,883,456/25,468,558,493.20
  6. Step 6: Final answer
    x = 38,202,837,739.80

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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.