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Finding the Fourth Proportional to 9,741,675.40, 13,668,205.40 and 9,741,675.40

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Solution

The fourth proportional to 9,741,675.40, 13,668,205.40 and 9,741,675.40 is: 13,668,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741,675.40 : 13,668,205.40 = 9,741,675.40 : x
  2. Step 2: Convert to fraction form
    9,741,675.40/13,668,205.40 = 9,741,675.40/x
  3. Step 3: Cross multiply
    9,741,675.40x = 13,668,205.40 × 9,741,675.40
  4. Step 4: Simplify right side
    9,741,675.40x = 133,151,220,307,327.17
  5. Step 5: Solve for x
    x = 133,151,220,307,327.17/9,741,675.40
  6. Step 6: Final answer
    x = 13,668,205.40

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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.