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Finding the Fourth Proportional to 9,741,792.40, 13,668,369.20 and 9,741,792.40

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Solution

The fourth proportional to 9,741,792.40, 13,668,369.20 and 9,741,792.40 is: 13,668,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741,792.40 : 13,668,369.20 = 9,741,792.40 : x
  2. Step 2: Convert to fraction form
    9,741,792.40/13,668,369.20 = 9,741,792.40/x
  3. Step 3: Cross multiply
    9,741,792.40x = 13,668,369.20 × 9,741,792.40
  4. Step 4: Simplify right side
    9,741,792.40x = 133,154,415,192,954.08
  5. Step 5: Solve for x
    x = 133,154,415,192,954.08/9,741,792.40
  6. Step 6: Final answer
    x = 13,668,369.20

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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.