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Finding the Fourth Proportional to 200,648,070.69, 300,899,872.46 and 69,454,700.15

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Solution

The fourth proportional to 200,648,070.69, 300,899,872.46 and 69,454,700.15 is: 104,157,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,648,070.69 : 300,899,872.46 = 69,454,700.15 : x
  2. Step 2: Convert to fraction form
    200,648,070.69/300,899,872.46 = 69,454,700.15/x
  3. Step 3: Cross multiply
    200,648,070.69x = 300,899,872.46 × 69,454,700.15
  4. Step 4: Simplify right side
    200,648,070.69x = 20,898,910,415,030,768
  5. Step 5: Solve for x
    x = 20,898,910,415,030,768/200,648,070.69
  6. Step 6: Final answer
    x = 104,157,046.43

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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.