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Finding the Fourth Proportional to 3,669,293,783.65, 5,151,523,179.35 and 3,669,293,783.65

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Solution

The fourth proportional to 3,669,293,783.65, 5,151,523,179.35 and 3,669,293,783.65 is: 5,151,523,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,293,783.65 : 5,151,523,179.35 = 3,669,293,783.65 : x
  2. Step 2: Convert to fraction form
    3,669,293,783.65/5,151,523,179.35 = 3,669,293,783.65/x
  3. Step 3: Cross multiply
    3,669,293,783.65x = 5,151,523,179.35 × 3,669,293,783.65
  4. Step 4: Simplify right side
    3,669,293,783.65x = 18,902,451,978,317,840,384
  5. Step 5: Solve for x
    x = 18,902,451,978,317,840,384/3,669,293,783.65
  6. Step 6: Final answer
    x = 5,151,523,179.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.