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Finding the Fourth Proportional to 304,066,978.09, 456,054,383.05 and 82,755,563.86

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Solution

The fourth proportional to 304,066,978.09, 456,054,383.05 and 82,755,563.86 is: 124,120,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,066,978.09 : 456,054,383.05 = 82,755,563.86 : x
  2. Step 2: Convert to fraction form
    304,066,978.09/456,054,383.05 = 82,755,563.86/x
  3. Step 3: Cross multiply
    304,066,978.09x = 456,054,383.05 × 82,755,563.86
  4. Step 4: Simplify right side
    304,066,978.09x = 37,741,037,620,127,176
  5. Step 5: Solve for x
    x = 37,741,037,620,127,176/304,066,978.09
  6. Step 6: Final answer
    x = 124,120,803.44

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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.