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Finding the Fourth Proportional to 324,559,873,600.40, 486,839,810,400.60 and 324,559,873,600.40

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Solution

The fourth proportional to 324,559,873,600.40, 486,839,810,400.60 and 324,559,873,600.40 is: 486,839,810,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,559,873,600.40 : 486,839,810,400.60 = 324,559,873,600.40 : x
  2. Step 2: Convert to fraction form
    324,559,873,600.40/486,839,810,400.60 = 324,559,873,600.40/x
  3. Step 3: Cross multiply
    324,559,873,600.40x = 486,839,810,400.60 × 324,559,873,600.40
  4. Step 4: Simplify right side
    324,559,873,600.40x = 158,008,667,327,261,457,776,640
  5. Step 5: Solve for x
    x = 158,008,667,327,261,457,776,640/324,559,873,600.40
  6. Step 6: Final answer
    x = 486,839,810,400.60

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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.