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Finding the Fourth Proportional to 171,238,667,363.60, 256,858,001,045.40 and 171,238,667,363.60

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Solution

The fourth proportional to 171,238,667,363.60, 256,858,001,045.40 and 171,238,667,363.60 is: 256,858,001,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,238,667,363.60 : 256,858,001,045.40 = 171,238,667,363.60 : x
  2. Step 2: Convert to fraction form
    171,238,667,363.60/256,858,001,045.40 = 171,238,667,363.60/x
  3. Step 3: Cross multiply
    171,238,667,363.60x = 256,858,001,045.40 × 171,238,667,363.60
  4. Step 4: Simplify right side
    171,238,667,363.60x = 43,984,021,800,692,473,659,392
  5. Step 5: Solve for x
    x = 43,984,021,800,692,473,659,392/171,238,667,363.60
  6. Step 6: Final answer
    x = 256,858,001,045.40

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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.