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Finding the Fourth Proportional to 552,099,602.40, 827,446,064.40 and 293,438,738.40

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Solution

The fourth proportional to 552,099,602.40, 827,446,064.40 and 293,438,738.40 is: 439,784,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,099,602.40 : 827,446,064.40 = 293,438,738.40 : x
  2. Step 2: Convert to fraction form
    552,099,602.40/827,446,064.40 = 293,438,738.40/x
  3. Step 3: Cross multiply
    552,099,602.40x = 827,446,064.40 × 293,438,738.40
  4. Step 4: Simplify right side
    552,099,602.40x = 242,804,729,231,581,120
  5. Step 5: Solve for x
    x = 242,804,729,231,581,120/552,099,602.40
  6. Step 6: Final answer
    x = 439,784,285.62

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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.