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Finding the Fourth Proportional to 3,298,873,266.45, 4,948,309,899.68 and 3,298,873,266.45

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Solution

The fourth proportional to 3,298,873,266.45, 4,948,309,899.68 and 3,298,873,266.45 is: 4,948,309,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298,873,266.45 : 4,948,309,899.68 = 3,298,873,266.45 : x
  2. Step 2: Convert to fraction form
    3,298,873,266.45/4,948,309,899.68 = 3,298,873,266.45/x
  3. Step 3: Cross multiply
    3,298,873,266.45x = 4,948,309,899.68 × 3,298,873,266.45
  4. Step 4: Simplify right side
    3,298,873,266.45x = 16,323,847,242,147,739,648
  5. Step 5: Solve for x
    x = 16,323,847,242,147,739,648/3,298,873,266.45
  6. Step 6: Final answer
    x = 4,948,309,899.68

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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.