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Finding the Fourth Proportional to 243,257,616,010.73, 364,886,424,016.09 and 243,257,616,010.73

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Solution

The fourth proportional to 243,257,616,010.73, 364,886,424,016.09 and 243,257,616,010.73 is: 364,886,424,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,257,616,010.73 : 364,886,424,016.09 = 243,257,616,010.73 : x
  2. Step 2: Convert to fraction form
    243,257,616,010.73/364,886,424,016.09 = 243,257,616,010.73/x
  3. Step 3: Cross multiply
    243,257,616,010.73x = 364,886,424,016.09 × 243,257,616,010.73
  4. Step 4: Simplify right side
    243,257,616,010.73x = 88,761,401,620,834,449,096,704
  5. Step 5: Solve for x
    x = 88,761,401,620,834,449,096,704/243,257,616,010.73
  6. Step 6: Final answer
    x = 364,886,424,016.09

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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.