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Finding the Fourth Proportional to 13,694,989,669.40, 20,542,484,504.10 and 13,694,989,669.40

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Solution

The fourth proportional to 13,694,989,669.40, 20,542,484,504.10 and 13,694,989,669.40 is: 20,542,484,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694,989,669.40 : 20,542,484,504.10 = 13,694,989,669.40 : x
  2. Step 2: Convert to fraction form
    13,694,989,669.40/20,542,484,504.10 = 13,694,989,669.40/x
  3. Step 3: Cross multiply
    13,694,989,669.40x = 20,542,484,504.10 × 13,694,989,669.40
  4. Step 4: Simplify right side
    13,694,989,669.40x = 281,329,113,067,459,051,520
  5. Step 5: Solve for x
    x = 281,329,113,067,459,051,520/13,694,989,669.40
  6. Step 6: Final answer
    x = 20,542,484,504.10

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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.