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Finding the Fourth Proportional to 193,768,986,961.20, 290,653,480,441.80 and 193,768,986,961.20

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Solution

The fourth proportional to 193,768,986,961.20, 290,653,480,441.80 and 193,768,986,961.20 is: 290,653,480,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,768,986,961.20 : 290,653,480,441.80 = 193,768,986,961.20 : x
  2. Step 2: Convert to fraction form
    193,768,986,961.20/290,653,480,441.80 = 193,768,986,961.20/x
  3. Step 3: Cross multiply
    193,768,986,961.20x = 290,653,480,441.80 × 193,768,986,961.20
  4. Step 4: Simplify right side
    193,768,986,961.20x = 56,319,630,461,954,542,272,512
  5. Step 5: Solve for x
    x = 56,319,630,461,954,542,272,512/193,768,986,961.20
  6. Step 6: Final answer
    x = 290,653,480,441.80

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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.