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Finding the Fourth Proportional to 99,546,408,045.15, 149,319,612,067.72 and 99,546,408,045.15

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Solution

The fourth proportional to 99,546,408,045.15, 149,319,612,067.72 and 99,546,408,045.15 is: 149,319,612,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546,408,045.15 : 149,319,612,067.72 = 99,546,408,045.15 : x
  2. Step 2: Convert to fraction form
    99,546,408,045.15/149,319,612,067.72 = 99,546,408,045.15/x
  3. Step 3: Cross multiply
    99,546,408,045.15x = 149,319,612,067.72 × 99,546,408,045.15
  4. Step 4: Simplify right side
    99,546,408,045.15x = 14,864,231,032,036,758,913,024
  5. Step 5: Solve for x
    x = 14,864,231,032,036,758,913,024/99,546,408,045.15
  6. Step 6: Final answer
    x = 149,319,612,067.72

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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.