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Finding the Fourth Proportional to 534,747,745,091.10, 802,121,617,636.65 and 534,747,745,091.10

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Solution

The fourth proportional to 534,747,745,091.10, 802,121,617,636.65 and 534,747,745,091.10 is: 802,121,617,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,747,745,091.10 : 802,121,617,636.65 = 534,747,745,091.10 : x
  2. Step 2: Convert to fraction form
    534,747,745,091.10/802,121,617,636.65 = 534,747,745,091.10/x
  3. Step 3: Cross multiply
    534,747,745,091.10x = 802,121,617,636.65 × 534,747,745,091.10
  4. Step 4: Simplify right side
    534,747,745,091.10x = 428,932,726,320,024,078,254,080
  5. Step 5: Solve for x
    x = 428,932,726,320,024,078,254,080/534,747,745,091.10
  6. Step 6: Final answer
    x = 802,121,617,636.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.