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Finding the Fourth Proportional to 2,005,012,992,264.30, 3,007,519,488,396.30 and 2,005,012,992,264.30

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Solution

The fourth proportional to 2,005,012,992,264.30, 3,007,519,488,396.30 and 2,005,012,992,264.30 is: 3,007,519,488,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,012,992,264.30 : 3,007,519,488,396.30 = 2,005,012,992,264.30 : x
  2. Step 2: Convert to fraction form
    2,005,012,992,264.30/3,007,519,488,396.30 = 2,005,012,992,264.30/x
  3. Step 3: Cross multiply
    2,005,012,992,264.30x = 3,007,519,488,396.30 × 2,005,012,992,264.30
  4. Step 4: Simplify right side
    2,005,012,992,264.30x = 6,030,115,648,722,661,984,436,224
  5. Step 5: Solve for x
    x = 6,030,115,648,722,661,984,436,224/2,005,012,992,264.30
  6. Step 6: Final answer
    x = 3,007,519,488,396.30

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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.