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Finding the Fourth Proportional to 281,468,954,015.10, 422,203,431,022.64 and 281,468,954,015.10

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Solution

The fourth proportional to 281,468,954,015.10, 422,203,431,022.64 and 281,468,954,015.10 is: 422,203,431,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,468,954,015.10 : 422,203,431,022.64 = 281,468,954,015.10 : x
  2. Step 2: Convert to fraction form
    281,468,954,015.10/422,203,431,022.64 = 281,468,954,015.10/x
  3. Step 3: Cross multiply
    281,468,954,015.10x = 422,203,431,022.64 × 281,468,954,015.10
  4. Step 4: Simplify right side
    281,468,954,015.10x = 118,837,158,111,528,888,565,760
  5. Step 5: Solve for x
    x = 118,837,158,111,528,888,565,760/281,468,954,015.10
  6. Step 6: Final answer
    x = 422,203,431,022.64

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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.