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Finding the Fourth Proportional to 3,669,293,362.90, 5,151,522,590.30 and 3,669,293,362.90

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Solution

The fourth proportional to 3,669,293,362.90, 5,151,522,590.30 and 3,669,293,362.90 is: 5,151,522,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,293,362.90 : 5,151,522,590.30 = 3,669,293,362.90 : x
  2. Step 2: Convert to fraction form
    3,669,293,362.90/5,151,522,590.30 = 3,669,293,362.90/x
  3. Step 3: Cross multiply
    3,669,293,362.90x = 5,151,522,590.30 × 3,669,293,362.90
  4. Step 4: Simplify right side
    3,669,293,362.90x = 18,902,447,649,417,207,808
  5. Step 5: Solve for x
    x = 18,902,447,649,417,207,808/3,669,293,362.90
  6. Step 6: Final answer
    x = 5,151,522,590.30

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Why These Related Problems?

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