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Finding the Fourth Proportional to 1,578,412,608.35, 2,213,405,622.25 and 1,578,412,608.35

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Solution

The fourth proportional to 1,578,412,608.35, 2,213,405,622.25 and 1,578,412,608.35 is: 2,213,405,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,412,608.35 : 2,213,405,622.25 = 1,578,412,608.35 : x
  2. Step 2: Convert to fraction form
    1,578,412,608.35/2,213,405,622.25 = 1,578,412,608.35/x
  3. Step 3: Cross multiply
    1,578,412,608.35x = 2,213,405,622.25 × 1,578,412,608.35
  4. Step 4: Simplify right side
    1,578,412,608.35x = 3,493,667,341,552,177,152
  5. Step 5: Solve for x
    x = 3,493,667,341,552,177,152/1,578,412,608.35
  6. Step 6: Final answer
    x = 2,213,405,622.25

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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.