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Finding the Fourth Proportional to 828,848,797,828.30, 1,243,273,196,742.40 and 828,848,797,828.30

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Solution

The fourth proportional to 828,848,797,828.30, 1,243,273,196,742.40 and 828,848,797,828.30 is: 1,243,273,196,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,848,797,828.30 : 1,243,273,196,742.40 = 828,848,797,828.30 : x
  2. Step 2: Convert to fraction form
    828,848,797,828.30/1,243,273,196,742.40 = 828,848,797,828.30/x
  3. Step 3: Cross multiply
    828,848,797,828.30x = 1,243,273,196,742.40 × 828,848,797,828.30
  4. Step 4: Simplify right side
    828,848,797,828.30x = 1,030,485,494,492,085,690,040,320
  5. Step 5: Solve for x
    x = 1,030,485,494,492,085,690,040,320/828,848,797,828.30
  6. Step 6: Final answer
    x = 1,243,273,196,742.40

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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.