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Finding the Fourth Proportional to 307,846,973.68, 461,770,460.04 and 77,816,058.34

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Solution

The fourth proportional to 307,846,973.68, 461,770,460.04 and 77,816,058.34 is: 116,724,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,846,973.68 : 461,770,460.04 = 77,816,058.34 : x
  2. Step 2: Convert to fraction form
    307,846,973.68/461,770,460.04 = 77,816,058.34/x
  3. Step 3: Cross multiply
    307,846,973.68x = 461,770,460.04 × 77,816,058.34
  4. Step 4: Simplify right side
    307,846,973.68x = 35,933,157,058,161,284
  5. Step 5: Solve for x
    x = 35,933,157,058,161,284/307,846,973.68
  6. Step 6: Final answer
    x = 116,724,087.39

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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.