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Finding the Fourth Proportional to 103,428,821,132.01, 155,143,231,698.01 and 103,428,821,132.01

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Solution

The fourth proportional to 103,428,821,132.01, 155,143,231,698.01 and 103,428,821,132.01 is: 155,143,231,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428,821,132.01 : 155,143,231,698.01 = 103,428,821,132.01 : x
  2. Step 2: Convert to fraction form
    103,428,821,132.01/155,143,231,698.01 = 103,428,821,132.01/x
  3. Step 3: Cross multiply
    103,428,821,132.01x = 155,143,231,698.01 × 103,428,821,132.01
  4. Step 4: Simplify right side
    103,428,821,132.01x = 16,046,281,561,135,460,122,624
  5. Step 5: Solve for x
    x = 16,046,281,561,135,460,122,624/103,428,821,132.01
  6. Step 6: Final answer
    x = 155,143,231,698.01

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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.