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Finding the Fourth Proportional to 260,772,858,051.15, 391,159,287,076.72 and 260,772,858,051.15

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Solution

The fourth proportional to 260,772,858,051.15, 391,159,287,076.72 and 260,772,858,051.15 is: 391,159,287,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,772,858,051.15 : 391,159,287,076.72 = 260,772,858,051.15 : x
  2. Step 2: Convert to fraction form
    260,772,858,051.15/391,159,287,076.72 = 260,772,858,051.15/x
  3. Step 3: Cross multiply
    260,772,858,051.15x = 391,159,287,076.72 × 260,772,858,051.15
  4. Step 4: Simplify right side
    260,772,858,051.15x = 102,003,725,244,246,534,389,760
  5. Step 5: Solve for x
    x = 102,003,725,244,246,534,389,760/260,772,858,051.15
  6. Step 6: Final answer
    x = 391,159,287,076.72

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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.