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Finding the Fourth Proportional to 664,272,004.20, 996,408,006.30 and 664,272,004.20

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Solution

The fourth proportional to 664,272,004.20, 996,408,006.30 and 664,272,004.20 is: 996,408,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,272,004.20 : 996,408,006.30 = 664,272,004.20 : x
  2. Step 2: Convert to fraction form
    664,272,004.20/996,408,006.30 = 664,272,004.20/x
  3. Step 3: Cross multiply
    664,272,004.20x = 996,408,006.30 × 664,272,004.20
  4. Step 4: Simplify right side
    664,272,004.20x = 661,885,943,345,827,200
  5. Step 5: Solve for x
    x = 661,885,943,345,827,200/664,272,004.20
  6. Step 6: Final answer
    x = 996,408,006.30

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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.