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Finding the Fourth Proportional to 518,202,442.20, 777,303,663.30 and 518,202,442.20

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Solution

The fourth proportional to 518,202,442.20, 777,303,663.30 and 518,202,442.20 is: 777,303,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,202,442.20 : 777,303,663.30 = 518,202,442.20 : x
  2. Step 2: Convert to fraction form
    518,202,442.20/777,303,663.30 = 518,202,442.20/x
  3. Step 3: Cross multiply
    518,202,442.20x = 777,303,663.30 × 518,202,442.20
  4. Step 4: Simplify right side
    518,202,442.20x = 402,800,656,653,066,496
  5. Step 5: Solve for x
    x = 402,800,656,653,066,496/518,202,442.20
  6. Step 6: Final answer
    x = 777,303,663.30

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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.