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Finding the Fourth Proportional to 620,657,478,002.52, 930,986,217,003.78 and 620,657,478,002.52

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Solution

The fourth proportional to 620,657,478,002.52, 930,986,217,003.78 and 620,657,478,002.52 is: 930,986,217,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,657,478,002.52 : 930,986,217,003.78 = 620,657,478,002.52 : x
  2. Step 2: Convert to fraction form
    620,657,478,002.52/930,986,217,003.78 = 620,657,478,002.52/x
  3. Step 3: Cross multiply
    620,657,478,002.52x = 930,986,217,003.78 × 620,657,478,002.52
  4. Step 4: Simplify right side
    620,657,478,002.52x = 577,823,557,500,672,910,819,328
  5. Step 5: Solve for x
    x = 577,823,557,500,672,910,819,328/620,657,478,002.52
  6. Step 6: Final answer
    x = 930,986,217,003.78

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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.