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Finding the Fourth Proportional to 2,578,522,076.52, 3,867,783,114.77 and 2,578,522,076.52

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Solution

The fourth proportional to 2,578,522,076.52, 3,867,783,114.77 and 2,578,522,076.52 is: 3,867,783,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,522,076.52 : 3,867,783,114.77 = 2,578,522,076.52 : x
  2. Step 2: Convert to fraction form
    2,578,522,076.52/3,867,783,114.77 = 2,578,522,076.52/x
  3. Step 3: Cross multiply
    2,578,522,076.52x = 3,867,783,114.77 × 2,578,522,076.52
  4. Step 4: Simplify right side
    2,578,522,076.52x = 9,973,164,148,612,841,472
  5. Step 5: Solve for x
    x = 9,973,164,148,612,841,472/2,578,522,076.52
  6. Step 6: Final answer
    x = 3,867,783,114.77

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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.