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Finding the Fourth Proportional to 509,915,009.80, 764,872,514.70 and 467,399,729.80

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Solution

The fourth proportional to 509,915,009.80, 764,872,514.70 and 467,399,729.80 is: 701,099,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,915,009.80 : 764,872,514.70 = 467,399,729.80 : x
  2. Step 2: Convert to fraction form
    509,915,009.80/764,872,514.70 = 467,399,729.80/x
  3. Step 3: Cross multiply
    509,915,009.80x = 764,872,514.70 × 467,399,729.80
  4. Step 4: Simplify right side
    509,915,009.80x = 357,501,206,702,226,560
  5. Step 5: Solve for x
    x = 357,501,206,702,226,560/509,915,009.80
  6. Step 6: Final answer
    x = 701,099,594.70

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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.