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Finding the Fourth Proportional to 86,257,095,438.80, 129,385,643,158.20 and 86,257,095,438.80

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Solution

The fourth proportional to 86,257,095,438.80, 129,385,643,158.20 and 86,257,095,438.80 is: 129,385,643,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,257,095,438.80 : 129,385,643,158.20 = 86,257,095,438.80 : x
  2. Step 2: Convert to fraction form
    86,257,095,438.80/129,385,643,158.20 = 86,257,095,438.80/x
  3. Step 3: Cross multiply
    86,257,095,438.80x = 129,385,643,158.20 × 86,257,095,438.80
  4. Step 4: Simplify right side
    86,257,095,438.80x = 11,160,429,770,307,377,561,600
  5. Step 5: Solve for x
    x = 11,160,429,770,307,377,561,600/86,257,095,438.80
  6. Step 6: Final answer
    x = 129,385,643,158.20

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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.