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Finding the Fourth Proportional to 145,325,178,045.15, 217,987,767,067.73 and 145,325,178,045.15

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Solution

The fourth proportional to 145,325,178,045.15, 217,987,767,067.73 and 145,325,178,045.15 is: 217,987,767,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,325,178,045.15 : 217,987,767,067.73 = 145,325,178,045.15 : x
  2. Step 2: Convert to fraction form
    145,325,178,045.15/217,987,767,067.73 = 145,325,178,045.15/x
  3. Step 3: Cross multiply
    145,325,178,045.15x = 217,987,767,067.73 × 145,325,178,045.15
  4. Step 4: Simplify right side
    145,325,178,045.15x = 31,679,111,060,782,550,351,872
  5. Step 5: Solve for x
    x = 31,679,111,060,782,550,351,872/145,325,178,045.15
  6. Step 6: Final answer
    x = 217,987,767,067.73

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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.