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Finding the Fourth Proportional to 3,531,587,764,800.30, 5,297,381,647,200.40 and 3,531,587,764,800.30

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Solution

The fourth proportional to 3,531,587,764,800.30, 5,297,381,647,200.40 and 3,531,587,764,800.30 is: 5,297,381,647,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531,587,764,800.30 : 5,297,381,647,200.40 = 3,531,587,764,800.30 : x
  2. Step 2: Convert to fraction form
    3,531,587,764,800.30/5,297,381,647,200.40 = 3,531,587,764,800.30/x
  3. Step 3: Cross multiply
    3,531,587,764,800.30x = 5,297,381,647,200.40 × 3,531,587,764,800.30
  4. Step 4: Simplify right side
    3,531,587,764,800.30x = 18,708,168,210,730,593,114,128,384
  5. Step 5: Solve for x
    x = 18,708,168,210,730,593,114,128,384/3,531,587,764,800.30
  6. Step 6: Final answer
    x = 5,297,381,647,200.40

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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.