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Finding the Fourth Proportional to 16,746,542,448.30, 25,119,813,672.45 and 16,746,542,448.30

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Solution

The fourth proportional to 16,746,542,448.30, 25,119,813,672.45 and 16,746,542,448.30 is: 25,119,813,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746,542,448.30 : 25,119,813,672.45 = 16,746,542,448.30 : x
  2. Step 2: Convert to fraction form
    16,746,542,448.30/25,119,813,672.45 = 16,746,542,448.30/x
  3. Step 3: Cross multiply
    16,746,542,448.30x = 25,119,813,672.45 × 16,746,542,448.30
  4. Step 4: Simplify right side
    16,746,542,448.30x = 420,670,025,959,070,629,888
  5. Step 5: Solve for x
    x = 420,670,025,959,070,629,888/16,746,542,448.30
  6. Step 6: Final answer
    x = 25,119,813,672.45

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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.