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Finding the Fourth Proportional to 86,565,859,268.80, 129,848,788,903.20 and 86,565,859,268.80

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Solution

The fourth proportional to 86,565,859,268.80, 129,848,788,903.20 and 86,565,859,268.80 is: 129,848,788,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565,859,268.80 : 129,848,788,903.20 = 86,565,859,268.80 : x
  2. Step 2: Convert to fraction form
    86,565,859,268.80/129,848,788,903.20 = 86,565,859,268.80/x
  3. Step 3: Cross multiply
    86,565,859,268.80x = 129,848,788,903.20 × 86,565,859,268.80
  4. Step 4: Simplify right side
    86,565,859,268.80x = 11,240,471,986,418,531,434,496
  5. Step 5: Solve for x
    x = 11,240,471,986,418,531,434,496/86,565,859,268.80
  6. Step 6: Final answer
    x = 129,848,788,903.20

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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.