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Finding the Fourth Proportional to 534,747,745,092.10, 802,121,617,638.15 and 534,747,745,092.10

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Solution

The fourth proportional to 534,747,745,092.10, 802,121,617,638.15 and 534,747,745,092.10 is: 802,121,617,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,747,745,092.10 : 802,121,617,638.15 = 534,747,745,092.10 : x
  2. Step 2: Convert to fraction form
    534,747,745,092.10/802,121,617,638.15 = 534,747,745,092.10/x
  3. Step 3: Cross multiply
    534,747,745,092.10x = 802,121,617,638.15 × 534,747,745,092.10
  4. Step 4: Simplify right side
    534,747,745,092.10x = 428,932,726,321,628,315,648,000
  5. Step 5: Solve for x
    x = 428,932,726,321,628,315,648,000/534,747,745,092.10
  6. Step 6: Final answer
    x = 802,121,617,638.15

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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.