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Finding the Fourth Proportional to 91,434,096,342.45, 137,151,144,513.67 and 91,434,096,342.45

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Solution

The fourth proportional to 91,434,096,342.45, 137,151,144,513.67 and 91,434,096,342.45 is: 137,151,144,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,434,096,342.45 : 137,151,144,513.67 = 91,434,096,342.45 : x
  2. Step 2: Convert to fraction form
    91,434,096,342.45/137,151,144,513.67 = 91,434,096,342.45/x
  3. Step 3: Cross multiply
    91,434,096,342.45x = 137,151,144,513.67 × 91,434,096,342.45
  4. Step 4: Simplify right side
    91,434,096,342.45x = 12,540,290,960,940,184,109,056
  5. Step 5: Solve for x
    x = 12,540,290,960,940,184,109,056/91,434,096,342.45
  6. Step 6: Final answer
    x = 137,151,144,513.67

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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.