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Finding the Fourth Proportional to 447,726,906,021.20, 671,590,359,031.80 and 447,726,906,021.20

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Solution

The fourth proportional to 447,726,906,021.20, 671,590,359,031.80 and 447,726,906,021.20 is: 671,590,359,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,726,906,021.20 : 671,590,359,031.80 = 447,726,906,021.20 : x
  2. Step 2: Convert to fraction form
    447,726,906,021.20/671,590,359,031.80 = 447,726,906,021.20/x
  3. Step 3: Cross multiply
    447,726,906,021.20x = 671,590,359,031.80 × 447,726,906,021.20
  4. Step 4: Simplify right side
    447,726,906,021.20x = 300,689,073,562,974,712,496,128
  5. Step 5: Solve for x
    x = 300,689,073,562,974,712,496,128/447,726,906,021.20
  6. Step 6: Final answer
    x = 671,590,359,031.80

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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.