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Finding the Fourth Proportional to 89,047,491,443.10, 133,571,237,164.65 and 89,047,491,443.10

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Solution

The fourth proportional to 89,047,491,443.10, 133,571,237,164.65 and 89,047,491,443.10 is: 133,571,237,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,047,491,443.10 : 133,571,237,164.65 = 89,047,491,443.10 : x
  2. Step 2: Convert to fraction form
    89,047,491,443.10/133,571,237,164.65 = 89,047,491,443.10/x
  3. Step 3: Cross multiply
    89,047,491,443.10x = 133,571,237,164.65 × 89,047,491,443.10
  4. Step 4: Simplify right side
    89,047,491,443.10x = 11,894,183,598,463,452,708,864
  5. Step 5: Solve for x
    x = 11,894,183,598,463,452,708,864/89,047,491,443.10
  6. Step 6: Final answer
    x = 133,571,237,164.65

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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.