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Finding the Fourth Proportional to 664,272,044.45, 996,408,066.68 and 664,272,044.45

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Solution

The fourth proportional to 664,272,044.45, 996,408,066.68 and 664,272,044.45 is: 996,408,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,272,044.45 : 996,408,066.68 = 664,272,044.45 : x
  2. Step 2: Convert to fraction form
    664,272,044.45/996,408,066.68 = 664,272,044.45/x
  3. Step 3: Cross multiply
    664,272,044.45x = 996,408,066.68 × 664,272,044.45
  4. Step 4: Simplify right side
    664,272,044.45x = 661,886,023,556,674,176
  5. Step 5: Solve for x
    x = 661,886,023,556,674,176/664,272,044.45
  6. Step 6: Final answer
    x = 996,408,066.68

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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.