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Finding the Fourth Proportional to 3,960,304,893,007.40, 5,940,457,339,511.40 and 3,960,304,893,007.40

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Solution

The fourth proportional to 3,960,304,893,007.40, 5,940,457,339,511.40 and 3,960,304,893,007.40 is: 5,940,457,339,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960,304,893,007.40 : 5,940,457,339,511.40 = 3,960,304,893,007.40 : x
  2. Step 2: Convert to fraction form
    3,960,304,893,007.40/5,940,457,339,511.40 = 3,960,304,893,007.40/x
  3. Step 3: Cross multiply
    3,960,304,893,007.40x = 5,940,457,339,511.40 × 3,960,304,893,007.40
  4. Step 4: Simplify right side
    3,960,304,893,007.40x = 23,526,022,268,368,719,617,982,464
  5. Step 5: Solve for x
    x = 23,526,022,268,368,719,617,982,464/3,960,304,893,007.40
  6. Step 6: Final answer
    x = 5,940,457,339,511.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.