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Finding the Fourth Proportional to 442,866,500.30, 664,299,750.45 and 442,866,500.30

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Solution

The fourth proportional to 442,866,500.30, 664,299,750.45 and 442,866,500.30 is: 664,299,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866,500.30 : 664,299,750.45 = 442,866,500.30 : x
  2. Step 2: Convert to fraction form
    442,866,500.30/664,299,750.45 = 442,866,500.30/x
  3. Step 3: Cross multiply
    442,866,500.30x = 664,299,750.45 × 442,866,500.30
  4. Step 4: Simplify right side
    442,866,500.30x = 294,196,105,631,954,880
  5. Step 5: Solve for x
    x = 294,196,105,631,954,880/442,866,500.30
  6. Step 6: Final answer
    x = 664,299,750.45

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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.