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Finding the Fourth Proportional to 2,578,522,083.02, 3,867,783,124.52 and 2,578,522,083.02

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Solution

The fourth proportional to 2,578,522,083.02, 3,867,783,124.52 and 2,578,522,083.02 is: 3,867,783,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,522,083.02 : 3,867,783,124.52 = 2,578,522,083.02 : x
  2. Step 2: Convert to fraction form
    2,578,522,083.02/3,867,783,124.52 = 2,578,522,083.02/x
  3. Step 3: Cross multiply
    2,578,522,083.02x = 3,867,783,124.52 × 2,578,522,083.02
  4. Step 4: Simplify right side
    2,578,522,083.02x = 9,973,164,198,906,914,816
  5. Step 5: Solve for x
    x = 9,973,164,198,906,914,816/2,578,522,083.02
  6. Step 6: Final answer
    x = 3,867,783,124.52

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Similar ratio
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1.5x scale

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.