Home / 433,571,904.12-650,253,723.08-200,178,371.20

Finding the Fourth Proportional to 433,571,904.12, 650,253,723.08 and 200,178,371.20

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Solution

The fourth proportional to 433,571,904.12, 650,253,723.08 and 200,178,371.20 is: 300,219,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,571,904.12 : 650,253,723.08 = 200,178,371.20 : x
  2. Step 2: Convert to fraction form
    433,571,904.12/650,253,723.08 = 200,178,371.20/x
  3. Step 3: Cross multiply
    433,571,904.12x = 650,253,723.08 × 200,178,371.20
  4. Step 4: Simplify right side
    433,571,904.12x = 130,166,731,152,890,256
  5. Step 5: Solve for x
    x = 130,166,731,152,890,256/433,571,904.12
  6. Step 6: Final answer
    x = 300,219,478.97

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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.