Home / 682,546,733,928.90-1,022,395,387,910.60-409,404,745,228.32

Finding the Fourth Proportional to 682,546,733,928.90, 1,022,395,387,910.60 and 409,404,745,228.32

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Solution

The fourth proportional to 682,546,733,928.90, 1,022,395,387,910.60 and 409,404,745,228.32 is: 613,252,547,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,546,733,928.90 : 1,022,395,387,910.60 = 409,404,745,228.32 : x
  2. Step 2: Convert to fraction form
    682,546,733,928.90/1,022,395,387,910.60 = 409,404,745,228.32/x
  3. Step 3: Cross multiply
    682,546,733,928.90x = 1,022,395,387,910.60 × 409,404,745,228.32
  4. Step 4: Simplify right side
    682,546,733,928.90x = 418,573,523,310,148,621,172,736
  5. Step 5: Solve for x
    x = 418,573,523,310,148,621,172,736/682,546,733,928.90
  6. Step 6: Final answer
    x = 613,252,547,412.75

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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.