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Finding the Fourth Proportional to 219,584,396,728.40, 329,376,595,092.60 and 219,584,396,728.40

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Solution

The fourth proportional to 219,584,396,728.40, 329,376,595,092.60 and 219,584,396,728.40 is: 329,376,595,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,584,396,728.40 : 329,376,595,092.60 = 219,584,396,728.40 : x
  2. Step 2: Convert to fraction form
    219,584,396,728.40/329,376,595,092.60 = 219,584,396,728.40/x
  3. Step 3: Cross multiply
    219,584,396,728.40x = 329,376,595,092.60 × 219,584,396,728.40
  4. Step 4: Simplify right side
    219,584,396,728.40x = 72,325,960,929,863,039,713,280
  5. Step 5: Solve for x
    x = 72,325,960,929,863,039,713,280/219,584,396,728.40
  6. Step 6: Final answer
    x = 329,376,595,092.60

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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.