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Finding the Fourth Proportional to 312,984,418,630.80, 469,476,627,946.20 and 312,984,418,630.80

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Solution

The fourth proportional to 312,984,418,630.80, 469,476,627,946.20 and 312,984,418,630.80 is: 469,476,627,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984,418,630.80 : 469,476,627,946.20 = 312,984,418,630.80 : x
  2. Step 2: Convert to fraction form
    312,984,418,630.80/469,476,627,946.20 = 312,984,418,630.80/x
  3. Step 3: Cross multiply
    312,984,418,630.80x = 469,476,627,946.20 × 312,984,418,630.80
  4. Step 4: Simplify right side
    312,984,418,630.80x = 146,938,869,458,489,797,771,264
  5. Step 5: Solve for x
    x = 146,938,869,458,489,797,771,264/312,984,418,630.80
  6. Step 6: Final answer
    x = 469,476,627,946.20

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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.