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Finding the Fourth Proportional to 289,107,784.59, 433,661,665.95 and 84,635,859.84

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Solution

The fourth proportional to 289,107,784.59, 433,661,665.95 and 84,635,859.84 is: 126,953,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,107,784.59 : 433,661,665.95 = 84,635,859.84 : x
  2. Step 2: Convert to fraction form
    289,107,784.59/433,661,665.95 = 84,635,859.84/x
  3. Step 3: Cross multiply
    289,107,784.59x = 433,661,665.95 × 84,635,859.84
  4. Step 4: Simplify right side
    289,107,784.59x = 36,703,327,977,325,104
  5. Step 5: Solve for x
    x = 36,703,327,977,325,104/289,107,784.59
  6. Step 6: Final answer
    x = 126,953,786.56

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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.