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Finding the Fourth Proportional to 86,524,380,908.30, 129,786,571,362.45 and 86,524,380,908.30

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Solution

The fourth proportional to 86,524,380,908.30, 129,786,571,362.45 and 86,524,380,908.30 is: 129,786,571,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,524,380,908.30 : 129,786,571,362.45 = 86,524,380,908.30 : x
  2. Step 2: Convert to fraction form
    86,524,380,908.30/129,786,571,362.45 = 86,524,380,908.30/x
  3. Step 3: Cross multiply
    86,524,380,908.30x = 129,786,571,362.45 × 86,524,380,908.30
  4. Step 4: Simplify right side
    86,524,380,908.30x = 11,229,702,737,346,884,009,984
  5. Step 5: Solve for x
    x = 11,229,702,737,346,884,009,984/86,524,380,908.30
  6. Step 6: Final answer
    x = 129,786,571,362.45

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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.