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Finding the Fourth Proportional to 5,342,334,831,027, 8,013,502,246,540.50 and 5,342,334,831,027

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Solution

The fourth proportional to 5,342,334,831,027, 8,013,502,246,540.50 and 5,342,334,831,027 is: 8,013,502,246,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,334,831,027 : 8,013,502,246,540.50 = 5,342,334,831,027 : x
  2. Step 2: Convert to fraction form
    5,342,334,831,027/8,013,502,246,540.50 = 5,342,334,831,027/x
  3. Step 3: Cross multiply
    5,342,334,831,027x = 8,013,502,246,540.50 × 5,342,334,831,027
  4. Step 4: Simplify right side
    5,342,334,831,027x = 42,810,812,170,206,428,253,913,088
  5. Step 5: Solve for x
    x = 42,810,812,170,206,428,253,913,088/5,342,334,831,027
  6. Step 6: Final answer
    x = 8,013,502,246,540.50

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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.