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Finding the Fourth Proportional to 1,324,726,935.78, 1,828,135,261.73 and 730,032,757.70

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Solution

The fourth proportional to 1,324,726,935.78, 1,828,135,261.73 and 730,032,757.70 is: 1,007,451,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,726,935.78 : 1,828,135,261.73 = 730,032,757.70 : x
  2. Step 2: Convert to fraction form
    1,324,726,935.78/1,828,135,261.73 = 730,032,757.70/x
  3. Step 3: Cross multiply
    1,324,726,935.78x = 1,828,135,261.73 × 730,032,757.70
  4. Step 4: Simplify right side
    1,324,726,935.78x = 1,334,598,626,562,047,744
  5. Step 5: Solve for x
    x = 1,334,598,626,562,047,744/1,324,726,935.78
  6. Step 6: Final answer
    x = 1,007,451,868.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.