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Finding the Fourth Proportional to 408,608,388,001.05, 612,912,582,001.55 and 408,608,388,001.05

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Solution

The fourth proportional to 408,608,388,001.05, 612,912,582,001.55 and 408,608,388,001.05 is: 612,912,582,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,608,388,001.05 : 612,912,582,001.55 = 408,608,388,001.05 : x
  2. Step 2: Convert to fraction form
    408,608,388,001.05/612,912,582,001.55 = 408,608,388,001.05/x
  3. Step 3: Cross multiply
    408,608,388,001.05x = 612,912,582,001.55 × 408,608,388,001.05
  4. Step 4: Simplify right side
    408,608,388,001.05x = 250,441,222,117,214,730,059,776
  5. Step 5: Solve for x
    x = 250,441,222,117,214,730,059,776/408,608,388,001.05
  6. Step 6: Final answer
    x = 612,912,582,001.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.