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Finding the Fourth Proportional to 659,458,676,467.20, 989,188,014,700.80 and 659,458,676,467.20

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Solution

The fourth proportional to 659,458,676,467.20, 989,188,014,700.80 and 659,458,676,467.20 is: 989,188,014,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,458,676,467.20 : 989,188,014,700.80 = 659,458,676,467.20 : x
  2. Step 2: Convert to fraction form
    659,458,676,467.20/989,188,014,700.80 = 659,458,676,467.20/x
  3. Step 3: Cross multiply
    659,458,676,467.20x = 989,188,014,700.80 × 659,458,676,467.20
  4. Step 4: Simplify right side
    659,458,676,467.20x = 652,328,618,951,806,782,799,872
  5. Step 5: Solve for x
    x = 652,328,618,951,806,782,799,872/659,458,676,467.20
  6. Step 6: Final answer
    x = 989,188,014,700.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.