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Finding the Fourth Proportional to 1,090,516,932,022.20, 1,635,775,398,033.30 and 1,090,516,932,022.20

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Solution

The fourth proportional to 1,090,516,932,022.20, 1,635,775,398,033.30 and 1,090,516,932,022.20 is: 1,635,775,398,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,516,932,022.20 : 1,635,775,398,033.30 = 1,090,516,932,022.20 : x
  2. Step 2: Convert to fraction form
    1,090,516,932,022.20/1,635,775,398,033.30 = 1,090,516,932,022.20/x
  3. Step 3: Cross multiply
    1,090,516,932,022.20x = 1,635,775,398,033.30 × 1,090,516,932,022.20
  4. Step 4: Simplify right side
    1,090,516,932,022.20x = 1,783,840,768,540,667,394,654,208
  5. Step 5: Solve for x
    x = 1,783,840,768,540,667,394,654,208/1,090,516,932,022.20
  6. Step 6: Final answer
    x = 1,635,775,398,033.30

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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.