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Finding the Fourth Proportional to 260,760,694,970.55, 391,141,042,455.82 and 260,760,694,970.55

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Solution

The fourth proportional to 260,760,694,970.55, 391,141,042,455.82 and 260,760,694,970.55 is: 391,141,042,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,694,970.55 : 391,141,042,455.82 = 260,760,694,970.55 : x
  2. Step 2: Convert to fraction form
    260,760,694,970.55/391,141,042,455.82 = 260,760,694,970.55/x
  3. Step 3: Cross multiply
    260,760,694,970.55x = 391,141,042,455.82 × 260,760,694,970.55
  4. Step 4: Simplify right side
    260,760,694,970.55x = 101,994,210,062,285,024,526,336
  5. Step 5: Solve for x
    x = 101,994,210,062,285,024,526,336/260,760,694,970.55
  6. Step 6: Final answer
    x = 391,141,042,455.82

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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.