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Finding the Fourth Proportional to 139,180,097,982.20, 208,770,146,973.30 and 139,180,097,982.20

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Solution

The fourth proportional to 139,180,097,982.20, 208,770,146,973.30 and 139,180,097,982.20 is: 208,770,146,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,180,097,982.20 : 208,770,146,973.30 = 139,180,097,982.20 : x
  2. Step 2: Convert to fraction form
    139,180,097,982.20/208,770,146,973.30 = 139,180,097,982.20/x
  3. Step 3: Cross multiply
    139,180,097,982.20x = 208,770,146,973.30 × 139,180,097,982.20
  4. Step 4: Simplify right side
    139,180,097,982.20x = 29,056,649,511,502,188,904,448
  5. Step 5: Solve for x
    x = 29,056,649,511,502,188,904,448/139,180,097,982.20
  6. Step 6: Final answer
    x = 208,770,146,973.30

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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.