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Finding the Fourth Proportional to 9,843,022.80, 13,746,639.60 and 9,843,022.80

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Solution

The fourth proportional to 9,843,022.80, 13,746,639.60 and 9,843,022.80 is: 13,746,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,022.80 : 13,746,639.60 = 9,843,022.80 : x
  2. Step 2: Convert to fraction form
    9,843,022.80/13,746,639.60 = 9,843,022.80/x
  3. Step 3: Cross multiply
    9,843,022.80x = 13,746,639.60 × 9,843,022.80
  4. Step 4: Simplify right side
    9,843,022.80x = 135,308,487,006,182.89
  5. Step 5: Solve for x
    x = 135,308,487,006,182.89/9,843,022.80
  6. Step 6: Final answer
    x = 13,746,639.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.