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Finding the Fourth Proportional to 5,410,988,630,998.70, 8,116,482,946,498.20 and 5,410,988,630,998.70

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Solution

The fourth proportional to 5,410,988,630,998.70, 8,116,482,946,498.20 and 5,410,988,630,998.70 is: 8,116,482,946,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,988,630,998.70 : 8,116,482,946,498.20 = 5,410,988,630,998.70 : x
  2. Step 2: Convert to fraction form
    5,410,988,630,998.70/8,116,482,946,498.20 = 5,410,988,630,998.70/x
  3. Step 3: Cross multiply
    5,410,988,630,998.70x = 8,116,482,946,498.20 × 5,410,988,630,998.70
  4. Step 4: Simplify right side
    5,410,988,630,998.70x = 43,918,196,947,196,588,981,223,424
  5. Step 5: Solve for x
    x = 43,918,196,947,196,588,981,223,424/5,410,988,630,998.70
  6. Step 6: Final answer
    x = 8,116,482,946,498.20

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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.