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Finding the Fourth Proportional to 145,582,334,145.15, 218,373,501,217.72 and 145,582,334,145.15

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Solution

The fourth proportional to 145,582,334,145.15, 218,373,501,217.72 and 145,582,334,145.15 is: 218,373,501,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,582,334,145.15 : 218,373,501,217.72 = 145,582,334,145.15 : x
  2. Step 2: Convert to fraction form
    145,582,334,145.15/218,373,501,217.72 = 145,582,334,145.15/x
  3. Step 3: Cross multiply
    145,582,334,145.15x = 218,373,501,217.72 × 145,582,334,145.15
  4. Step 4: Simplify right side
    145,582,334,145.15x = 31,791,324,022,724,431,446,016
  5. Step 5: Solve for x
    x = 31,791,324,022,724,431,446,016/145,582,334,145.15
  6. Step 6: Final answer
    x = 218,373,501,217.72

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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.