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Finding the Fourth Proportional to 107,889,072,003.20, 161,833,608,004.80 and 107,889,072,003.20

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Solution

The fourth proportional to 107,889,072,003.20, 161,833,608,004.80 and 107,889,072,003.20 is: 161,833,608,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,889,072,003.20 : 161,833,608,004.80 = 107,889,072,003.20 : x
  2. Step 2: Convert to fraction form
    107,889,072,003.20/161,833,608,004.80 = 107,889,072,003.20/x
  3. Step 3: Cross multiply
    107,889,072,003.20x = 161,833,608,004.80 × 107,889,072,003.20
  4. Step 4: Simplify right side
    107,889,072,003.20x = 17,460,077,786,567,509,278,720
  5. Step 5: Solve for x
    x = 17,460,077,786,567,509,278,720/107,889,072,003.20
  6. Step 6: Final answer
    x = 161,833,608,004.80

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