Home / 415,499,057,093.02-623,651,608,993.95-200,518,890,105.78

Finding the Fourth Proportional to 415,499,057,093.02, 623,651,608,993.95 and 200,518,890,105.78

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Solution

The fourth proportional to 415,499,057,093.02, 623,651,608,993.95 and 200,518,890,105.78 is: 300,972,833,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,499,057,093.02 : 623,651,608,993.95 = 200,518,890,105.78 : x
  2. Step 2: Convert to fraction form
    415,499,057,093.02/623,651,608,993.95 = 200,518,890,105.78/x
  3. Step 3: Cross multiply
    415,499,057,093.02x = 623,651,608,993.95 × 200,518,890,105.78
  4. Step 4: Simplify right side
    415,499,057,093.02x = 125,053,928,448,150,722,314,240
  5. Step 5: Solve for x
    x = 125,053,928,448,150,722,314,240/415,499,057,093.02
  6. Step 6: Final answer
    x = 300,972,833,303.34

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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.