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Finding the Fourth Proportional to 7,276,483.20, 10,202,006.40 and 7,276,483.20

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Solution

The fourth proportional to 7,276,483.20, 10,202,006.40 and 7,276,483.20 is: 10,202,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276,483.20 : 10,202,006.40 = 7,276,483.20 : x
  2. Step 2: Convert to fraction form
    7,276,483.20/10,202,006.40 = 7,276,483.20/x
  3. Step 3: Cross multiply
    7,276,483.20x = 10,202,006.40 × 7,276,483.20
  4. Step 4: Simplify right side
    7,276,483.20x = 74,234,728,175,892.48
  5. Step 5: Solve for x
    x = 74,234,728,175,892.48/7,276,483.20
  6. Step 6: Final answer
    x = 10,202,006.40

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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.