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Finding the Fourth Proportional to 360,697,739,920.20, 541,046,609,880.30 and 360,697,739,920.20

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Solution

The fourth proportional to 360,697,739,920.20, 541,046,609,880.30 and 360,697,739,920.20 is: 541,046,609,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,697,739,920.20 : 541,046,609,880.30 = 360,697,739,920.20 : x
  2. Step 2: Convert to fraction form
    360,697,739,920.20/541,046,609,880.30 = 360,697,739,920.20/x
  3. Step 3: Cross multiply
    360,697,739,920.20x = 541,046,609,880.30 × 360,697,739,920.20
  4. Step 4: Simplify right side
    360,697,739,920.20x = 195,154,289,375,310,380,007,424
  5. Step 5: Solve for x
    x = 195,154,289,375,310,380,007,424/360,697,739,920.20
  6. Step 6: Final answer
    x = 541,046,609,880.30

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Double scale
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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.