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Finding the Fourth Proportional to 5,286,364.20, 7,415,839.80 and 5,286,364.20

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Solution

The fourth proportional to 5,286,364.20, 7,415,839.80 and 5,286,364.20 is: 7,415,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286,364.20 : 7,415,839.80 = 5,286,364.20 : x
  2. Step 2: Convert to fraction form
    5,286,364.20/7,415,839.80 = 5,286,364.20/x
  3. Step 3: Cross multiply
    5,286,364.20x = 7,415,839.80 × 5,286,364.20
  4. Step 4: Simplify right side
    5,286,364.20x = 39,202,830,031,655.16
  5. Step 5: Solve for x
    x = 39,202,830,031,655.16/5,286,364.20
  6. Step 6: Final answer
    x = 7,415,839.80

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