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Finding the Fourth Proportional to 312,984,418,640.55, 469,476,627,960.82 and 312,984,418,640.55

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Solution

The fourth proportional to 312,984,418,640.55, 469,476,627,960.82 and 312,984,418,640.55 is: 469,476,627,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984,418,640.55 : 469,476,627,960.82 = 312,984,418,640.55 : x
  2. Step 2: Convert to fraction form
    312,984,418,640.55/469,476,627,960.82 = 312,984,418,640.55/x
  3. Step 3: Cross multiply
    312,984,418,640.55x = 469,476,627,960.82 × 312,984,418,640.55
  4. Step 4: Simplify right side
    312,984,418,640.55x = 146,938,869,467,643,027,390,464
  5. Step 5: Solve for x
    x = 146,938,869,467,643,027,390,464/312,984,418,640.55
  6. Step 6: Final answer
    x = 469,476,627,960.82

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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.