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Finding the Fourth Proportional to 9,789,728,878.80, 14,684,593,318.20 and 9,789,728,878.80

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Solution

The fourth proportional to 9,789,728,878.80, 14,684,593,318.20 and 9,789,728,878.80 is: 14,684,593,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789,728,878.80 : 14,684,593,318.20 = 9,789,728,878.80 : x
  2. Step 2: Convert to fraction form
    9,789,728,878.80/14,684,593,318.20 = 9,789,728,878.80/x
  3. Step 3: Cross multiply
    9,789,728,878.80x = 14,684,593,318.20 × 9,789,728,878.80
  4. Step 4: Simplify right side
    9,789,728,878.80x = 143,758,187,280,616,046,592
  5. Step 5: Solve for x
    x = 143,758,187,280,616,046,592/9,789,728,878.80
  6. Step 6: Final answer
    x = 14,684,593,318.20

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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.