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Finding the Fourth Proportional to 198,168,565,514.15, 297,252,848,271.22 and 198,168,565,514.15

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Solution

The fourth proportional to 198,168,565,514.15, 297,252,848,271.22 and 198,168,565,514.15 is: 297,252,848,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,168,565,514.15 : 297,252,848,271.22 = 198,168,565,514.15 : x
  2. Step 2: Convert to fraction form
    198,168,565,514.15/297,252,848,271.22 = 198,168,565,514.15/x
  3. Step 3: Cross multiply
    198,168,565,514.15x = 297,252,848,271.22 × 198,168,565,514.15
  4. Step 4: Simplify right side
    198,168,565,514.15x = 58,906,170,536,902,940,164,096
  5. Step 5: Solve for x
    x = 58,906,170,536,902,940,164,096/198,168,565,514.15
  6. Step 6: Final answer
    x = 297,252,848,271.22

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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.