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Finding the Fourth Proportional to 47,664,018.60, 71,354,310.30 and 47,664,018.60

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Solution

The fourth proportional to 47,664,018.60, 71,354,310.30 and 47,664,018.60 is: 71,354,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664,018.60 : 71,354,310.30 = 47,664,018.60 : x
  2. Step 2: Convert to fraction form
    47,664,018.60/71,354,310.30 = 47,664,018.60/x
  3. Step 3: Cross multiply
    47,664,018.60x = 71,354,310.30 × 47,664,018.60
  4. Step 4: Simplify right side
    47,664,018.60x = 3,401,033,173,329,371.50
  5. Step 5: Solve for x
    x = 3,401,033,173,329,371.50/47,664,018.60
  6. Step 6: Final answer
    x = 71,354,310.30

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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.