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Finding the Fourth Proportional to 232,416,932,550.30, 348,074,400,796.65 and 232,416,932,550.30

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Solution

The fourth proportional to 232,416,932,550.30, 348,074,400,796.65 and 232,416,932,550.30 is: 348,074,400,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,416,932,550.30 : 348,074,400,796.65 = 232,416,932,550.30 : x
  2. Step 2: Convert to fraction form
    232,416,932,550.30/348,074,400,796.65 = 232,416,932,550.30/x
  3. Step 3: Cross multiply
    232,416,932,550.30x = 348,074,400,796.65 × 232,416,932,550.30
  4. Step 4: Simplify right side
    232,416,932,550.30x = 80,898,384,532,441,097,306,112
  5. Step 5: Solve for x
    x = 80,898,384,532,441,097,306,112/232,416,932,550.30
  6. Step 6: Final answer
    x = 348,074,400,796.65

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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.