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Finding the Fourth Proportional to 284,692,205.59, 426,954,606.42 and 120,928,661.44

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Solution

The fourth proportional to 284,692,205.59, 426,954,606.42 and 120,928,661.44 is: 181,357,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,692,205.59 : 426,954,606.42 = 120,928,661.44 : x
  2. Step 2: Convert to fraction form
    284,692,205.59/426,954,606.42 = 120,928,661.44/x
  3. Step 3: Cross multiply
    284,692,205.59x = 426,954,606.42 × 120,928,661.44
  4. Step 4: Simplify right side
    284,692,205.59x = 51,631,049,049,398,728
  5. Step 5: Solve for x
    x = 51,631,049,049,398,728/284,692,205.59
  6. Step 6: Final answer
    x = 181,357,438.09

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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.