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Finding the Fourth Proportional to 893,882,448,014.40, 1,340,823,672,021.60 and 893,882,448,014.40

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Solution

The fourth proportional to 893,882,448,014.40, 1,340,823,672,021.60 and 893,882,448,014.40 is: 1,340,823,672,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,882,448,014.40 : 1,340,823,672,021.60 = 893,882,448,014.40 : x
  2. Step 2: Convert to fraction form
    893,882,448,014.40/1,340,823,672,021.60 = 893,882,448,014.40/x
  3. Step 3: Cross multiply
    893,882,448,014.40x = 1,340,823,672,021.60 × 893,882,448,014.40
  4. Step 4: Simplify right side
    893,882,448,014.40x = 1,198,538,746,302,324,839,284,736
  5. Step 5: Solve for x
    x = 1,198,538,746,302,324,839,284,736/893,882,448,014.40
  6. Step 6: Final answer
    x = 1,340,823,672,021.60

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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.