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Finding the Fourth Proportional to 80,201,665,228.65, 120,302,497,842.97 and 80,201,665,228.65

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Solution

The fourth proportional to 80,201,665,228.65, 120,302,497,842.97 and 80,201,665,228.65 is: 120,302,497,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,201,665,228.65 : 120,302,497,842.97 = 80,201,665,228.65 : x
  2. Step 2: Convert to fraction form
    80,201,665,228.65/120,302,497,842.97 = 80,201,665,228.65/x
  3. Step 3: Cross multiply
    80,201,665,228.65x = 120,302,497,842.97 × 80,201,665,228.65
  4. Step 4: Simplify right side
    80,201,665,228.65x = 9,648,460,658,172,267,331,584
  5. Step 5: Solve for x
    x = 9,648,460,658,172,267,331,584/80,201,665,228.65
  6. Step 6: Final answer
    x = 120,302,497,842.97

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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.