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Finding the Fourth Proportional to 950,942,912.80, 1,328,599,100 and 950,942,912.80

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Solution

The fourth proportional to 950,942,912.80, 1,328,599,100 and 950,942,912.80 is: 1,328,599,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,942,912.80 : 1,328,599,100 = 950,942,912.80 : x
  2. Step 2: Convert to fraction form
    950,942,912.80/1,328,599,100 = 950,942,912.80/x
  3. Step 3: Cross multiply
    950,942,912.80x = 1,328,599,100 × 950,942,912.80
  4. Step 4: Simplify right side
    950,942,912.80x = 1,263,421,898,097,458,432
  5. Step 5: Solve for x
    x = 1,263,421,898,097,458,432/950,942,912.80
  6. Step 6: Final answer
    x = 1,328,599,100

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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.