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Finding the Fourth Proportional to 967,885,728,007.10, 1,451,828,592,010.60 and 967,885,728,007.10

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Solution

The fourth proportional to 967,885,728,007.10, 1,451,828,592,010.60 and 967,885,728,007.10 is: 1,451,828,592,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,885,728,007.10 : 1,451,828,592,010.60 = 967,885,728,007.10 : x
  2. Step 2: Convert to fraction form
    967,885,728,007.10/1,451,828,592,010.60 = 967,885,728,007.10/x
  3. Step 3: Cross multiply
    967,885,728,007.10x = 1,451,828,592,010.60 × 967,885,728,007.10
  4. Step 4: Simplify right side
    967,885,728,007.10x = 1,405,204,173,719,702,536,716,288
  5. Step 5: Solve for x
    x = 1,405,204,173,719,702,536,716,288/967,885,728,007.10
  6. Step 6: Final answer
    x = 1,451,828,592,010.60

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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.