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Finding the Fourth Proportional to 4,590,204,516.90, 6,438,530,724.30 and 4,590,204,516.90

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Solution

The fourth proportional to 4,590,204,516.90, 6,438,530,724.30 and 4,590,204,516.90 is: 6,438,530,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590,204,516.90 : 6,438,530,724.30 = 4,590,204,516.90 : x
  2. Step 2: Convert to fraction form
    4,590,204,516.90/6,438,530,724.30 = 4,590,204,516.90/x
  3. Step 3: Cross multiply
    4,590,204,516.90x = 6,438,530,724.30 × 4,590,204,516.90
  4. Step 4: Simplify right side
    4,590,204,516.90x = 29,554,172,812,881,285,120
  5. Step 5: Solve for x
    x = 29,554,172,812,881,285,120/4,590,204,516.90
  6. Step 6: Final answer
    x = 6,438,530,724.30

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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.