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Finding the Fourth Proportional to 533,117,906.40, 799,676,859.60 and 465,093,458.40

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Solution

The fourth proportional to 533,117,906.40, 799,676,859.60 and 465,093,458.40 is: 697,640,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,117,906.40 : 799,676,859.60 = 465,093,458.40 : x
  2. Step 2: Convert to fraction form
    533,117,906.40/799,676,859.60 = 465,093,458.40/x
  3. Step 3: Cross multiply
    533,117,906.40x = 799,676,859.60 × 465,093,458.40
  4. Step 4: Simplify right side
    533,117,906.40x = 371,924,476,233,815,232
  5. Step 5: Solve for x
    x = 371,924,476,233,815,232/533,117,906.40
  6. Step 6: Final answer
    x = 697,640,187.60

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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.