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Finding the Fourth Proportional to 442,866,824.05, 664,300,236.08 and 442,866,824.05

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Solution

The fourth proportional to 442,866,824.05, 664,300,236.08 and 442,866,824.05 is: 664,300,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866,824.05 : 664,300,236.08 = 442,866,824.05 : x
  2. Step 2: Convert to fraction form
    442,866,824.05/664,300,236.08 = 442,866,824.05/x
  3. Step 3: Cross multiply
    442,866,824.05x = 664,300,236.08 × 442,866,824.05
  4. Step 4: Simplify right side
    442,866,824.05x = 294,196,535,766,200,512
  5. Step 5: Solve for x
    x = 294,196,535,766,200,512/442,866,824.05
  6. Step 6: Final answer
    x = 664,300,236.08

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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.