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Finding the Fourth Proportional to 131,907,645,567.80, 197,861,468,351.70 and 131,907,645,567.80

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Solution

The fourth proportional to 131,907,645,567.80, 197,861,468,351.70 and 131,907,645,567.80 is: 197,861,468,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,907,645,567.80 : 197,861,468,351.70 = 131,907,645,567.80 : x
  2. Step 2: Convert to fraction form
    131,907,645,567.80/197,861,468,351.70 = 131,907,645,567.80/x
  3. Step 3: Cross multiply
    131,907,645,567.80x = 197,861,468,351.70 × 131,907,645,567.80
  4. Step 4: Simplify right side
    131,907,645,567.80x = 26,099,440,438,860,524,290,048
  5. Step 5: Solve for x
    x = 26,099,440,438,860,524,290,048/131,907,645,567.80
  6. Step 6: Final answer
    x = 197,861,468,351.70

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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.