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Finding the Fourth Proportional to 293,397,809.80, 440,096,714.70 and 262,786,808.20

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Solution

The fourth proportional to 293,397,809.80, 440,096,714.70 and 262,786,808.20 is: 394,180,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,397,809.80 : 440,096,714.70 = 262,786,808.20 : x
  2. Step 2: Convert to fraction form
    293,397,809.80/440,096,714.70 = 262,786,808.20/x
  3. Step 3: Cross multiply
    293,397,809.80x = 440,096,714.70 × 262,786,808.20
  4. Step 4: Simplify right side
    293,397,809.80x = 115,651,610,955,319,008
  5. Step 5: Solve for x
    x = 115,651,610,955,319,008/293,397,809.80
  6. Step 6: Final answer
    x = 394,180,212.30

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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.