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Finding the Fourth Proportional to 86,647,795,561.80, 129,971,693,342.70 and 86,647,795,561.80

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Solution

The fourth proportional to 86,647,795,561.80, 129,971,693,342.70 and 86,647,795,561.80 is: 129,971,693,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,647,795,561.80 : 129,971,693,342.70 = 86,647,795,561.80 : x
  2. Step 2: Convert to fraction form
    86,647,795,561.80/129,971,693,342.70 = 86,647,795,561.80/x
  3. Step 3: Cross multiply
    86,647,795,561.80x = 129,971,693,342.70 × 86,647,795,561.80
  4. Step 4: Simplify right side
    86,647,795,561.80x = 11,261,760,713,579,231,707,136
  5. Step 5: Solve for x
    x = 11,261,760,713,579,231,707,136/86,647,795,561.80
  6. Step 6: Final answer
    x = 129,971,693,342.70

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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.