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Finding the Fourth Proportional to 85,835,813,563.20, 128,753,720,344.80 and 85,835,813,563.20

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Solution

The fourth proportional to 85,835,813,563.20, 128,753,720,344.80 and 85,835,813,563.20 is: 128,753,720,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,835,813,563.20 : 128,753,720,344.80 = 85,835,813,563.20 : x
  2. Step 2: Convert to fraction form
    85,835,813,563.20/128,753,720,344.80 = 85,835,813,563.20/x
  3. Step 3: Cross multiply
    85,835,813,563.20x = 128,753,720,344.80 × 85,835,813,563.20
  4. Step 4: Simplify right side
    85,835,813,563.20x = 11,051,680,335,084,644,204,544
  5. Step 5: Solve for x
    x = 11,051,680,335,084,644,204,544/85,835,813,563.20
  6. Step 6: Final answer
    x = 128,753,720,344.80

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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.