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Finding the Fourth Proportional to 407,742,163.54, 611,362,940.64 and 158,456,349.34

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Solution

The fourth proportional to 407,742,163.54, 611,362,940.64 and 158,456,349.34 is: 237,587,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,742,163.54 : 611,362,940.64 = 158,456,349.34 : x
  2. Step 2: Convert to fraction form
    407,742,163.54/611,362,940.64 = 158,456,349.34/x
  3. Step 3: Cross multiply
    407,742,163.54x = 611,362,940.64 × 158,456,349.34
  4. Step 4: Simplify right side
    407,742,163.54x = 96,874,339,693,458,912
  5. Step 5: Solve for x
    x = 96,874,339,693,458,912/407,742,163.54
  6. Step 6: Final answer
    x = 237,587,250.86

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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.