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Finding the Fourth Proportional to 417,540,384,013.17, 626,310,576,019.73 and 417,540,384,013.17

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Solution

The fourth proportional to 417,540,384,013.17, 626,310,576,019.73 and 417,540,384,013.17 is: 626,310,576,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,540,384,013.17 : 626,310,576,019.73 = 417,540,384,013.17 : x
  2. Step 2: Convert to fraction form
    417,540,384,013.17/626,310,576,019.73 = 417,540,384,013.17/x
  3. Step 3: Cross multiply
    417,540,384,013.17x = 626,310,576,019.73 × 417,540,384,013.17
  4. Step 4: Simplify right side
    417,540,384,013.17x = 261,509,958,422,787,759,538,176
  5. Step 5: Solve for x
    x = 261,509,958,422,787,759,538,176/417,540,384,013.17
  6. Step 6: Final answer
    x = 626,310,576,019.73

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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.