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Finding the Fourth Proportional to 551,188,206,837.82, 826,782,310,256.73 and 551,188,206,837.82

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Solution

The fourth proportional to 551,188,206,837.82, 826,782,310,256.73 and 551,188,206,837.82 is: 826,782,310,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,188,206,837.82 : 826,782,310,256.73 = 551,188,206,837.82 : x
  2. Step 2: Convert to fraction form
    551,188,206,837.82/826,782,310,256.73 = 551,188,206,837.82/x
  3. Step 3: Cross multiply
    551,188,206,837.82x = 826,782,310,256.73 × 551,188,206,837.82
  4. Step 4: Simplify right side
    551,188,206,837.82x = 455,712,659,035,637,097,168,896
  5. Step 5: Solve for x
    x = 455,712,659,035,637,097,168,896/551,188,206,837.82
  6. Step 6: Final answer
    x = 826,782,310,256.73

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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.