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Finding the Fourth Proportional to 5,378,203.20, 7,535,083.20 and 5,378,203.20

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Solution

The fourth proportional to 5,378,203.20, 7,535,083.20 and 5,378,203.20 is: 7,535,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378,203.20 : 7,535,083.20 = 5,378,203.20 : x
  2. Step 2: Convert to fraction form
    5,378,203.20/7,535,083.20 = 5,378,203.20/x
  3. Step 3: Cross multiply
    5,378,203.20x = 7,535,083.20 × 5,378,203.20
  4. Step 4: Simplify right side
    5,378,203.20x = 40,525,208,578,506.24
  5. Step 5: Solve for x
    x = 40,525,208,578,506.24/5,378,203.20
  6. Step 6: Final answer
    x = 7,535,083.20

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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.