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Finding the Fourth Proportional to 5,876,416,700,661.40, 8,800,693,644,041.60 and 5,876,416,700,661.40

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Solution

The fourth proportional to 5,876,416,700,661.40, 8,800,693,644,041.60 and 5,876,416,700,661.40 is: 8,800,693,644,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876,416,700,661.40 : 8,800,693,644,041.60 = 5,876,416,700,661.40 : x
  2. Step 2: Convert to fraction form
    5,876,416,700,661.40/8,800,693,644,041.60 = 5,876,416,700,661.40/x
  3. Step 3: Cross multiply
    5,876,416,700,661.40x = 8,800,693,644,041.60 × 5,876,416,700,661.40
  4. Step 4: Simplify right side
    5,876,416,700,661.40x = 51,716,543,107,250,694,446,383,104
  5. Step 5: Solve for x
    x = 51,716,543,107,250,694,446,383,104/5,876,416,700,661.40
  6. Step 6: Final answer
    x = 8,800,693,644,041.60

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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.