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Finding the Fourth Proportional to 629,695,298,273.35, 944,542,947,410 and 629,695,298,273.35

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Solution

The fourth proportional to 629,695,298,273.35, 944,542,947,410 and 629,695,298,273.35 is: 944,542,947,410

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,695,298,273.35 : 944,542,947,410 = 629,695,298,273.35 : x
  2. Step 2: Convert to fraction form
    629,695,298,273.35/944,542,947,410 = 629,695,298,273.35/x
  3. Step 3: Cross multiply
    629,695,298,273.35x = 944,542,947,410 × 629,695,298,273.35
  4. Step 4: Simplify right side
    629,695,298,273.35x = 594,774,253,001,329,094,950,912
  5. Step 5: Solve for x
    x = 594,774,253,001,329,094,950,912/629,695,298,273.35
  6. Step 6: Final answer
    x = 944,542,947,410

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.