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Finding the Fourth Proportional to 9,743,297.55, 13,663,011.45 and 9,743,297.55

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Solution

The fourth proportional to 9,743,297.55, 13,663,011.45 and 9,743,297.55 is: 13,663,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743,297.55 : 13,663,011.45 = 9,743,297.55 : x
  2. Step 2: Convert to fraction form
    9,743,297.55/13,663,011.45 = 9,743,297.55/x
  3. Step 3: Cross multiply
    9,743,297.55x = 13,663,011.45 × 9,743,297.55
  4. Step 4: Simplify right side
    9,743,297.55x = 133,122,785,986,406.95
  5. Step 5: Solve for x
    x = 133,122,785,986,406.95/9,743,297.55
  6. Step 6: Final answer
    x = 13,663,011.45

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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.