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Finding the Fourth Proportional to 86,270,588,998.20, 129,405,883,497.30 and 86,270,588,998.20

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Solution

The fourth proportional to 86,270,588,998.20, 129,405,883,497.30 and 86,270,588,998.20 is: 129,405,883,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,270,588,998.20 : 129,405,883,497.30 = 86,270,588,998.20 : x
  2. Step 2: Convert to fraction form
    86,270,588,998.20/129,405,883,497.30 = 86,270,588,998.20/x
  3. Step 3: Cross multiply
    86,270,588,998.20x = 129,405,883,497.30 × 86,270,588,998.20
  4. Step 4: Simplify right side
    86,270,588,998.20x = 11,163,921,789,144,520,458,240
  5. Step 5: Solve for x
    x = 11,163,921,789,144,520,458,240/86,270,588,998.20
  6. Step 6: Final answer
    x = 129,405,883,497.30

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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.