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Finding the Fourth Proportional to 468,202,322.80, 702,090,907.80 and 176,972,654.80

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Solution

The fourth proportional to 468,202,322.80, 702,090,907.80 and 176,972,654.80 is: 265,378,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,202,322.80 : 702,090,907.80 = 176,972,654.80 : x
  2. Step 2: Convert to fraction form
    468,202,322.80/702,090,907.80 = 176,972,654.80/x
  3. Step 3: Cross multiply
    468,202,322.80x = 702,090,907.80 × 176,972,654.80
  4. Step 4: Simplify right side
    468,202,322.80x = 124,250,891,864,308,032
  5. Step 5: Solve for x
    x = 124,250,891,864,308,032/468,202,322.80
  6. Step 6: Final answer
    x = 265,378,631.87

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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.