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Finding the Fourth Proportional to 1,994,543,998.23, 2,991,815,997.37 and 1,994,543,998.23

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Solution

The fourth proportional to 1,994,543,998.23, 2,991,815,997.37 and 1,994,543,998.23 is: 2,991,815,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,543,998.23 : 2,991,815,997.37 = 1,994,543,998.23 : x
  2. Step 2: Convert to fraction form
    1,994,543,998.23/2,991,815,997.37 = 1,994,543,998.23/x
  3. Step 3: Cross multiply
    1,994,543,998.23x = 2,991,815,997.37 × 1,994,543,998.23
  4. Step 4: Simplify right side
    1,994,543,998.23x = 5,967,308,641,352,164,352
  5. Step 5: Solve for x
    x = 5,967,308,641,352,164,352/1,994,543,998.23
  6. Step 6: Final answer
    x = 2,991,815,997.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.