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Finding the Fourth Proportional to 2,022,052,877.70, 3,033,079,316.55 and 2,022,052,877.70

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Solution

The fourth proportional to 2,022,052,877.70, 3,033,079,316.55 and 2,022,052,877.70 is: 3,033,079,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,052,877.70 : 3,033,079,316.55 = 2,022,052,877.70 : x
  2. Step 2: Convert to fraction form
    2,022,052,877.70/3,033,079,316.55 = 2,022,052,877.70/x
  3. Step 3: Cross multiply
    2,022,052,877.70x = 3,033,079,316.55 × 2,022,052,877.70
  4. Step 4: Simplify right side
    2,022,052,877.70x = 6,133,046,760,322,277,376
  5. Step 5: Solve for x
    x = 6,133,046,760,322,277,376/2,022,052,877.70
  6. Step 6: Final answer
    x = 3,033,079,316.55

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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.