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Finding the Fourth Proportional to 5,296,010.40, 7,928,269.20 and 5,296,010.40

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Solution

The fourth proportional to 5,296,010.40, 7,928,269.20 and 5,296,010.40 is: 7,928,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,010.40 : 7,928,269.20 = 5,296,010.40 : x
  2. Step 2: Convert to fraction form
    5,296,010.40/7,928,269.20 = 5,296,010.40/x
  3. Step 3: Cross multiply
    5,296,010.40x = 7,928,269.20 × 5,296,010.40
  4. Step 4: Simplify right side
    5,296,010.40x = 41,988,196,137,199.69
  5. Step 5: Solve for x
    x = 41,988,196,137,199.69/5,296,010.40
  6. Step 6: Final answer
    x = 7,928,269.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.