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Finding the Fourth Proportional to 266,751,928.13, 399,714,680.41 and 185,029,686.77

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Solution

The fourth proportional to 266,751,928.13, 399,714,680.41 and 185,029,686.77 is: 277,257,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,751,928.13 : 399,714,680.41 = 185,029,686.77 : x
  2. Step 2: Convert to fraction form
    266,751,928.13/399,714,680.41 = 185,029,686.77/x
  3. Step 3: Cross multiply
    266,751,928.13x = 399,714,680.41 × 185,029,686.77
  4. Step 4: Simplify right side
    266,751,928.13x = 73,959,082,111,171,808
  5. Step 5: Solve for x
    x = 73,959,082,111,171,808/266,751,928.13
  6. Step 6: Final answer
    x = 277,257,910.12

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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.