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Finding the Fourth Proportional to 402,384,562.20, 603,576,843.30 and 378,576,005.40

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Solution

The fourth proportional to 402,384,562.20, 603,576,843.30 and 378,576,005.40 is: 567,864,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,384,562.20 : 603,576,843.30 = 378,576,005.40 : x
  2. Step 2: Convert to fraction form
    402,384,562.20/603,576,843.30 = 378,576,005.40/x
  3. Step 3: Cross multiply
    402,384,562.20x = 603,576,843.30 × 378,576,005.40
  4. Step 4: Simplify right side
    402,384,562.20x = 228,499,710,288,455,712
  5. Step 5: Solve for x
    x = 228,499,710,288,455,712/402,384,562.20
  6. Step 6: Final answer
    x = 567,864,008.10

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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.