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Finding the Fourth Proportional to 576,429,867, 864,734,380.02 and 193,566,998.52

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Solution

The fourth proportional to 576,429,867, 864,734,380.02 and 193,566,998.52 is: 290,380,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,429,867 : 864,734,380.02 = 193,566,998.52 : x
  2. Step 2: Convert to fraction form
    576,429,867/864,734,380.02 = 193,566,998.52/x
  3. Step 3: Cross multiply
    576,429,867x = 864,734,380.02 × 193,566,998.52
  4. Step 4: Simplify right side
    576,429,867x = 167,384,038,457,524,448
  5. Step 5: Solve for x
    x = 167,384,038,457,524,448/576,429,867
  6. Step 6: Final answer
    x = 290,380,578.87

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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.