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Finding the Fourth Proportional to 516,996,525.96, 713,451,819.96 and 293,978,224.08

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Solution

The fourth proportional to 516,996,525.96, 713,451,819.96 and 293,978,224.08 is: 405,688,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,996,525.96 : 713,451,819.96 = 293,978,224.08 : x
  2. Step 2: Convert to fraction form
    516,996,525.96/713,451,819.96 = 293,978,224.08/x
  3. Step 3: Cross multiply
    516,996,525.96x = 713,451,819.96 × 293,978,224.08
  4. Step 4: Simplify right side
    516,996,525.96x = 209,739,298,998,484,704
  5. Step 5: Solve for x
    x = 209,739,298,998,484,704/516,996,525.96
  6. Step 6: Final answer
    x = 405,688,023.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.