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Finding the Fourth Proportional to 480,993,509.71, 663,798,395.16 and 269,298,488.26

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Solution

The fourth proportional to 480,993,509.71, 663,798,395.16 and 269,298,488.26 is: 371,647,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,993,509.71 : 663,798,395.16 = 269,298,488.26 : x
  2. Step 2: Convert to fraction form
    480,993,509.71/663,798,395.16 = 269,298,488.26/x
  3. Step 3: Cross multiply
    480,993,509.71x = 663,798,395.16 × 269,298,488.26
  4. Step 4: Simplify right side
    480,993,509.71x = 178,759,904,322,668,704
  5. Step 5: Solve for x
    x = 178,759,904,322,668,704/480,993,509.71
  6. Step 6: Final answer
    x = 371,647,227.49

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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.