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Finding the Fourth Proportional to 275,866,671,466.80, 413,800,007,200.20 and 201,481,937,578.80

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Solution

The fourth proportional to 275,866,671,466.80, 413,800,007,200.20 and 201,481,937,578.80 is: 302,222,906,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,866,671,466.80 : 413,800,007,200.20 = 201,481,937,578.80 : x
  2. Step 2: Convert to fraction form
    275,866,671,466.80/413,800,007,200.20 = 201,481,937,578.80/x
  3. Step 3: Cross multiply
    275,866,671,466.80x = 413,800,007,200.20 × 201,481,937,578.80
  4. Step 4: Simplify right side
    275,866,671,466.80x = 83,373,227,220,817,680,531,456
  5. Step 5: Solve for x
    x = 83,373,227,220,817,680,531,456/275,866,671,466.80
  6. Step 6: Final answer
    x = 302,222,906,368.20

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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.