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Finding the Fourth Proportional to 260,772,858,010.65, 391,159,287,015.96 and 260,772,858,010.65

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Solution

The fourth proportional to 260,772,858,010.65, 391,159,287,015.96 and 260,772,858,010.65 is: 391,159,287,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,772,858,010.65 : 391,159,287,015.96 = 260,772,858,010.65 : x
  2. Step 2: Convert to fraction form
    260,772,858,010.65/391,159,287,015.96 = 260,772,858,010.65/x
  3. Step 3: Cross multiply
    260,772,858,010.65x = 391,159,287,015.96 × 260,772,858,010.65
  4. Step 4: Simplify right side
    260,772,858,010.65x = 102,003,725,212,560,027,287,552
  5. Step 5: Solve for x
    x = 102,003,725,212,560,027,287,552/260,772,858,010.65
  6. Step 6: Final answer
    x = 391,159,287,015.96

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1.5x scale

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.