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Finding the Fourth Proportional to 441,806,910,200.85, 662,710,365,301.30 and 441,806,910,200.85

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Solution

The fourth proportional to 441,806,910,200.85, 662,710,365,301.30 and 441,806,910,200.85 is: 662,710,365,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,806,910,200.85 : 662,710,365,301.30 = 441,806,910,200.85 : x
  2. Step 2: Convert to fraction form
    441,806,910,200.85/662,710,365,301.30 = 441,806,910,200.85/x
  3. Step 3: Cross multiply
    441,806,910,200.85x = 662,710,365,301.30 × 441,806,910,200.85
  4. Step 4: Simplify right side
    441,806,910,200.85x = 292,790,018,851,843,965,190,144
  5. Step 5: Solve for x
    x = 292,790,018,851,843,965,190,144/441,806,910,200.85
  6. Step 6: Final answer
    x = 662,710,365,301.30

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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.