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Finding the Fourth Proportional to 195,585,840,999.30, 293,378,761,498.95 and 195,585,840,999.30

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Solution

The fourth proportional to 195,585,840,999.30, 293,378,761,498.95 and 195,585,840,999.30 is: 293,378,761,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,585,840,999.30 : 293,378,761,498.95 = 195,585,840,999.30 : x
  2. Step 2: Convert to fraction form
    195,585,840,999.30/293,378,761,498.95 = 195,585,840,999.30/x
  3. Step 3: Cross multiply
    195,585,840,999.30x = 293,378,761,498.95 × 195,585,840,999.30
  4. Step 4: Simplify right side
    195,585,840,999.30x = 57,380,731,799,105,192,329,216
  5. Step 5: Solve for x
    x = 57,380,731,799,105,192,329,216/195,585,840,999.30
  6. Step 6: Final answer
    x = 293,378,761,498.95

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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.