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Finding the Fourth Proportional to 4,702,015.20, 7,041,963.60 and 4,702,015.20

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Solution

The fourth proportional to 4,702,015.20, 7,041,963.60 and 4,702,015.20 is: 7,041,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702,015.20 : 7,041,963.60 = 4,702,015.20 : x
  2. Step 2: Convert to fraction form
    4,702,015.20/7,041,963.60 = 4,702,015.20/x
  3. Step 3: Cross multiply
    4,702,015.20x = 7,041,963.60 × 4,702,015.20
  4. Step 4: Simplify right side
    4,702,015.20x = 33,111,419,885,046.72
  5. Step 5: Solve for x
    x = 33,111,419,885,046.72/4,702,015.20
  6. Step 6: Final answer
    x = 7,041,963.60

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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.