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Finding the Fourth Proportional to 198,168,565,513.15, 297,252,848,269.72 and 198,168,565,513.15

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Solution

The fourth proportional to 198,168,565,513.15, 297,252,848,269.72 and 198,168,565,513.15 is: 297,252,848,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,168,565,513.15 : 297,252,848,269.72 = 198,168,565,513.15 : x
  2. Step 2: Convert to fraction form
    198,168,565,513.15/297,252,848,269.72 = 198,168,565,513.15/x
  3. Step 3: Cross multiply
    198,168,565,513.15x = 297,252,848,269.72 × 198,168,565,513.15
  4. Step 4: Simplify right side
    198,168,565,513.15x = 58,906,170,536,308,439,515,136
  5. Step 5: Solve for x
    x = 58,906,170,536,308,439,515,136/198,168,565,513.15
  6. Step 6: Final answer
    x = 297,252,848,269.72

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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.