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Finding the Fourth Proportional to 259,226,048,903.55, 388,839,073,355.32 and 259,226,048,903.55

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Solution

The fourth proportional to 259,226,048,903.55, 388,839,073,355.32 and 259,226,048,903.55 is: 388,839,073,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,226,048,903.55 : 388,839,073,355.32 = 259,226,048,903.55 : x
  2. Step 2: Convert to fraction form
    259,226,048,903.55/388,839,073,355.32 = 259,226,048,903.55/x
  3. Step 3: Cross multiply
    259,226,048,903.55x = 388,839,073,355.32 × 259,226,048,903.55
  4. Step 4: Simplify right side
    259,226,048,903.55x = 100,797,216,645,217,244,938,240
  5. Step 5: Solve for x
    x = 100,797,216,645,217,244,938,240/259,226,048,903.55
  6. Step 6: Final answer
    x = 388,839,073,355.32

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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.