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Finding the Fourth Proportional to 484,655,829.82, 726,728,653.04 and 331,345,730.14

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Solution

The fourth proportional to 484,655,829.82, 726,728,653.04 and 331,345,730.14 is: 496,844,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,655,829.82 : 726,728,653.04 = 331,345,730.14 : x
  2. Step 2: Convert to fraction form
    484,655,829.82/726,728,653.04 = 331,345,730.14/x
  3. Step 3: Cross multiply
    484,655,829.82x = 726,728,653.04 × 331,345,730.14
  4. Step 4: Simplify right side
    484,655,829.82x = 240,798,436,155,197,504
  5. Step 5: Solve for x
    x = 240,798,436,155,197,504/484,655,829.82
  6. Step 6: Final answer
    x = 496,844,196.11

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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.