Home / 521,461,009,467.87-782,280,626,670.27-214,983,253,182.15

Finding the Fourth Proportional to 521,461,009,467.87, 782,280,626,670.27 and 214,983,253,182.15

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Solution

The fourth proportional to 521,461,009,467.87, 782,280,626,670.27 and 214,983,253,182.15 is: 322,511,618,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,461,009,467.87 : 782,280,626,670.27 = 214,983,253,182.15 : x
  2. Step 2: Convert to fraction form
    521,461,009,467.87/782,280,626,670.27 = 214,983,253,182.15/x
  3. Step 3: Cross multiply
    521,461,009,467.87x = 782,280,626,670.27 × 214,983,253,182.15
  4. Step 4: Simplify right side
    521,461,009,467.87x = 168,177,234,022,945,618,132,992
  5. Step 5: Solve for x
    x = 168,177,234,022,945,618,132,992/521,461,009,467.87
  6. Step 6: Final answer
    x = 322,511,618,259.94

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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.