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Finding the Fourth Proportional to 476,348,283,105.82, 714,522,424,658.73 and 476,348,283,105.82

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Solution

The fourth proportional to 476,348,283,105.82, 714,522,424,658.73 and 476,348,283,105.82 is: 714,522,424,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,348,283,105.82 : 714,522,424,658.73 = 476,348,283,105.82 : x
  2. Step 2: Convert to fraction form
    476,348,283,105.82/714,522,424,658.73 = 476,348,283,105.82/x
  3. Step 3: Cross multiply
    476,348,283,105.82x = 714,522,424,658.73 × 476,348,283,105.82
  4. Step 4: Simplify right side
    476,348,283,105.82x = 340,361,530,226,793,676,537,856
  5. Step 5: Solve for x
    x = 340,361,530,226,793,676,537,856/476,348,283,105.82
  6. Step 6: Final answer
    x = 714,522,424,658.73

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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.