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Finding the Fourth Proportional to 295,612,416,116.80, 443,418,624,175.20 and 295,612,416,116.80

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Solution

The fourth proportional to 295,612,416,116.80, 443,418,624,175.20 and 295,612,416,116.80 is: 443,418,624,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,612,416,116.80 : 443,418,624,175.20 = 295,612,416,116.80 : x
  2. Step 2: Convert to fraction form
    295,612,416,116.80/443,418,624,175.20 = 295,612,416,116.80/x
  3. Step 3: Cross multiply
    295,612,416,116.80x = 443,418,624,175.20 × 295,612,416,116.80
  4. Step 4: Simplify right side
    295,612,416,116.80x = 131,080,050,843,618,165,915,648
  5. Step 5: Solve for x
    x = 131,080,050,843,618,165,915,648/295,612,416,116.80
  6. Step 6: Final answer
    x = 443,418,624,175.20

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1.5x scale

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.