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Finding the Fourth Proportional to 906,993,404.10, 1,251,691,917.30 and 510,652,579.50

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Solution

The fourth proportional to 906,993,404.10, 1,251,691,917.30 and 510,652,579.50 is: 704,723,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,993,404.10 : 1,251,691,917.30 = 510,652,579.50 : x
  2. Step 2: Convert to fraction form
    906,993,404.10/1,251,691,917.30 = 510,652,579.50/x
  3. Step 3: Cross multiply
    906,993,404.10x = 1,251,691,917.30 × 510,652,579.50
  4. Step 4: Simplify right side
    906,993,404.10x = 639,179,706,308,545,664
  5. Step 5: Solve for x
    x = 639,179,706,308,545,664/906,993,404.10
  6. Step 6: Final answer
    x = 704,723,654.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.