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Finding the Fourth Proportional to 2,125,766,999.90, 2,969,186,324.50 and 2,125,766,999.90

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Solution

The fourth proportional to 2,125,766,999.90, 2,969,186,324.50 and 2,125,766,999.90 is: 2,969,186,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,766,999.90 : 2,969,186,324.50 = 2,125,766,999.90 : x
  2. Step 2: Convert to fraction form
    2,125,766,999.90/2,969,186,324.50 = 2,125,766,999.90/x
  3. Step 3: Cross multiply
    2,125,766,999.90x = 2,969,186,324.50 × 2,125,766,999.90
  4. Step 4: Simplify right side
    2,125,766,999.90x = 6,311,798,305,176,473,600
  5. Step 5: Solve for x
    x = 6,311,798,305,176,473,600/2,125,766,999.90
  6. Step 6: Final answer
    x = 2,969,186,324.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.