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Finding the Fourth Proportional to 596,410,794.97, 894,316,883.22 and 347,496,493.82

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Solution

The fourth proportional to 596,410,794.97, 894,316,883.22 and 347,496,493.82 is: 521,070,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,410,794.97 : 894,316,883.22 = 347,496,493.82 : x
  2. Step 2: Convert to fraction form
    596,410,794.97/894,316,883.22 = 347,496,493.82/x
  3. Step 3: Cross multiply
    596,410,794.97x = 894,316,883.22 × 347,496,493.82
  4. Step 4: Simplify right side
    596,410,794.97x = 310,771,981,279,811,904
  5. Step 5: Solve for x
    x = 310,771,981,279,811,904/596,410,794.97
  6. Step 6: Final answer
    x = 521,070,349.33

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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.