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Finding the Fourth Proportional to 534,747,745,092.04, 802,121,617,638.06 and 534,747,745,092.04

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Solution

The fourth proportional to 534,747,745,092.04, 802,121,617,638.06 and 534,747,745,092.04 is: 802,121,617,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,747,745,092.04 : 802,121,617,638.06 = 534,747,745,092.04 : x
  2. Step 2: Convert to fraction form
    534,747,745,092.04/802,121,617,638.06 = 534,747,745,092.04/x
  3. Step 3: Cross multiply
    534,747,745,092.04x = 802,121,617,638.06 × 534,747,745,092.04
  4. Step 4: Simplify right side
    534,747,745,092.04x = 428,932,726,321,532,081,537,024
  5. Step 5: Solve for x
    x = 428,932,726,321,532,081,537,024/534,747,745,092.04
  6. Step 6: Final answer
    x = 802,121,617,638.06

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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.