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Finding the Fourth Proportional to 664,298,029.35, 996,447,044.03 and 664,298,029.35

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Solution

The fourth proportional to 664,298,029.35, 996,447,044.03 and 664,298,029.35 is: 996,447,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,298,029.35 : 996,447,044.03 = 664,298,029.35 : x
  2. Step 2: Convert to fraction form
    664,298,029.35/996,447,044.03 = 664,298,029.35/x
  3. Step 3: Cross multiply
    664,298,029.35x = 996,447,044.03 × 664,298,029.35
  4. Step 4: Simplify right side
    664,298,029.35x = 661,937,807,697,440,256
  5. Step 5: Solve for x
    x = 661,937,807,697,440,256/664,298,029.35
  6. Step 6: Final answer
    x = 996,447,044.03

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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.