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Finding the Fourth Proportional to 20,912,291,998.40, 29,350,675,201.60 and 20,912,291,998.40

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Solution

The fourth proportional to 20,912,291,998.40, 29,350,675,201.60 and 20,912,291,998.40 is: 29,350,675,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912,291,998.40 : 29,350,675,201.60 = 20,912,291,998.40 : x
  2. Step 2: Convert to fraction form
    20,912,291,998.40/29,350,675,201.60 = 20,912,291,998.40/x
  3. Step 3: Cross multiply
    20,912,291,998.40x = 29,350,675,201.60 × 20,912,291,998.40
  4. Step 4: Simplify right side
    20,912,291,998.40x = 613,789,890,166,056,943,616
  5. Step 5: Solve for x
    x = 613,789,890,166,056,943,616/20,912,291,998.40
  6. Step 6: Final answer
    x = 29,350,675,201.60

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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.