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Finding the Fourth Proportional to 484,403,478.30, 726,605,217.45 and 484,403,478.30

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Solution

The fourth proportional to 484,403,478.30, 726,605,217.45 and 484,403,478.30 is: 726,605,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,403,478.30 : 726,605,217.45 = 484,403,478.30 : x
  2. Step 2: Convert to fraction form
    484,403,478.30/726,605,217.45 = 484,403,478.30/x
  3. Step 3: Cross multiply
    484,403,478.30x = 726,605,217.45 × 484,403,478.30
  4. Step 4: Simplify right side
    484,403,478.30x = 351,970,094,683,707,904
  5. Step 5: Solve for x
    x = 351,970,094,683,707,904/484,403,478.30
  6. Step 6: Final answer
    x = 726,605,217.45

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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.