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Finding the Fourth Proportional to 99,546,408,046.15, 149,319,612,069.22 and 99,546,408,046.15

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Solution

The fourth proportional to 99,546,408,046.15, 149,319,612,069.22 and 99,546,408,046.15 is: 149,319,612,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546,408,046.15 : 149,319,612,069.22 = 99,546,408,046.15 : x
  2. Step 2: Convert to fraction form
    99,546,408,046.15/149,319,612,069.22 = 99,546,408,046.15/x
  3. Step 3: Cross multiply
    99,546,408,046.15x = 149,319,612,069.22 × 99,546,408,046.15
  4. Step 4: Simplify right side
    99,546,408,046.15x = 14,864,231,032,335,397,552,128
  5. Step 5: Solve for x
    x = 14,864,231,032,335,397,552,128/99,546,408,046.15
  6. Step 6: Final answer
    x = 149,319,612,069.22

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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.