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Finding the Fourth Proportional to 505,500,809.30, 758,251,213.95 and 505,500,809.30

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Solution

The fourth proportional to 505,500,809.30, 758,251,213.95 and 505,500,809.30 is: 758,251,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,500,809.30 : 758,251,213.95 = 505,500,809.30 : x
  2. Step 2: Convert to fraction form
    505,500,809.30/758,251,213.95 = 505,500,809.30/x
  3. Step 3: Cross multiply
    505,500,809.30x = 758,251,213.95 × 505,500,809.30
  4. Step 4: Simplify right side
    505,500,809.30x = 383,296,602,304,432,512
  5. Step 5: Solve for x
    x = 383,296,602,304,432,512/505,500,809.30
  6. Step 6: Final answer
    x = 758,251,213.95

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Similar ratio
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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.