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Finding the Fourth Proportional to 285,148,970,111.70, 427,723,455,167.55 and 285,148,970,111.70

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Solution

The fourth proportional to 285,148,970,111.70, 427,723,455,167.55 and 285,148,970,111.70 is: 427,723,455,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,148,970,111.70 : 427,723,455,167.55 = 285,148,970,111.70 : x
  2. Step 2: Convert to fraction form
    285,148,970,111.70/427,723,455,167.55 = 285,148,970,111.70/x
  3. Step 3: Cross multiply
    285,148,970,111.70x = 427,723,455,167.55 × 285,148,970,111.70
  4. Step 4: Simplify right side
    285,148,970,111.70x = 121,964,902,733,644,778,438,656
  5. Step 5: Solve for x
    x = 121,964,902,733,644,778,438,656/285,148,970,111.70
  6. Step 6: Final answer
    x = 427,723,455,167.55

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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.