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Finding the Fourth Proportional to 362,022,858,092.70, 543,034,287,139.05 and 362,022,858,092.70

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Solution

The fourth proportional to 362,022,858,092.70, 543,034,287,139.05 and 362,022,858,092.70 is: 543,034,287,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,022,858,092.70 : 543,034,287,139.05 = 362,022,858,092.70 : x
  2. Step 2: Convert to fraction form
    362,022,858,092.70/543,034,287,139.05 = 362,022,858,092.70/x
  3. Step 3: Cross multiply
    362,022,858,092.70x = 543,034,287,139.05 × 362,022,858,092.70
  4. Step 4: Simplify right side
    362,022,858,092.70x = 196,590,824,672,410,820,673,536
  5. Step 5: Solve for x
    x = 196,590,824,672,410,820,673,536/362,022,858,092.70
  6. Step 6: Final answer
    x = 543,034,287,139.05

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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.