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Finding the Fourth Proportional to 194,039,128.80, 291,200,410.80 and 136,643,500.80

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Solution

The fourth proportional to 194,039,128.80, 291,200,410.80 and 136,643,500.80 is: 205,065,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,039,128.80 : 291,200,410.80 = 136,643,500.80 : x
  2. Step 2: Convert to fraction form
    194,039,128.80/291,200,410.80 = 136,643,500.80/x
  3. Step 3: Cross multiply
    194,039,128.80x = 291,200,410.80 × 136,643,500.80
  4. Step 4: Simplify right side
    194,039,128.80x = 39,790,643,566,110,136
  5. Step 5: Solve for x
    x = 39,790,643,566,110,136/194,039,128.80
  6. Step 6: Final answer
    x = 205,065,049.57

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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.