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Finding the Fourth Proportional to 618,932,455,936, 928,822,763,375 and 216,015,926,127

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Solution

The fourth proportional to 618,932,455,936, 928,822,763,375 and 216,015,926,127 is: 324,171,898,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,932,455,936 : 928,822,763,375 = 216,015,926,127 : x
  2. Step 2: Convert to fraction form
    618,932,455,936/928,822,763,375 = 216,015,926,127/x
  3. Step 3: Cross multiply
    618,932,455,936x = 928,822,763,375 × 216,015,926,127
  4. Step 4: Simplify right side
    618,932,455,936x = 200,640,509,438,290,009,522,176
  5. Step 5: Solve for x
    x = 200,640,509,438,290,009,522,176/618,932,455,936
  6. Step 6: Final answer
    x = 324,171,898,749.22

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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.