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Finding the Fourth Proportional to 1,099,993,604.22, 1,650,717,318.42 and 517,894,318.89

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Solution

The fourth proportional to 1,099,993,604.22, 1,650,717,318.42 and 517,894,318.89 is: 777,183,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,993,604.22 : 1,650,717,318.42 = 517,894,318.89 : x
  2. Step 2: Convert to fraction form
    1,099,993,604.22/1,650,717,318.42 = 517,894,318.89/x
  3. Step 3: Cross multiply
    1,099,993,604.22x = 1,650,717,318.42 × 517,894,318.89
  4. Step 4: Simplify right side
    1,099,993,604.22x = 854,897,121,303,053,184
  5. Step 5: Solve for x
    x = 854,897,121,303,053,184/1,099,993,604.22
  6. Step 6: Final answer
    x = 777,183,720.00

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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.