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Finding the Fourth Proportional to 235,644,876,000.30, 353,467,314,000.41 and 235,644,876,000.30

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Solution

The fourth proportional to 235,644,876,000.30, 353,467,314,000.41 and 235,644,876,000.30 is: 353,467,314,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,644,876,000.30 : 353,467,314,000.41 = 235,644,876,000.30 : x
  2. Step 2: Convert to fraction form
    235,644,876,000.30/353,467,314,000.41 = 235,644,876,000.30/x
  3. Step 3: Cross multiply
    235,644,876,000.30x = 353,467,314,000.41 × 235,644,876,000.30
  4. Step 4: Simplify right side
    235,644,876,000.30x = 83,292,761,377,785,709,068,288
  5. Step 5: Solve for x
    x = 83,292,761,377,785,709,068,288/235,644,876,000.30
  6. Step 6: Final answer
    x = 353,467,314,000.41

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1.5x scale

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.