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Finding the Fourth Proportional to 613,828,691.60, 847,073,682.60 and 335,364,221.84

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Solution

The fourth proportional to 613,828,691.60, 847,073,682.60 and 335,364,221.84 is: 462,797,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,828,691.60 : 847,073,682.60 = 335,364,221.84 : x
  2. Step 2: Convert to fraction form
    613,828,691.60/847,073,682.60 = 335,364,221.84/x
  3. Step 3: Cross multiply
    613,828,691.60x = 847,073,682.60 × 335,364,221.84
  4. Step 4: Simplify right side
    613,828,691.60x = 284,078,206,406,292,128
  5. Step 5: Solve for x
    x = 284,078,206,406,292,128/613,828,691.60
  6. Step 6: Final answer
    x = 462,797,210.84

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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.