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Finding the Fourth Proportional to 484,569,216,600.30, 726,853,824,900.45 and 484,569,216,600.30

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Solution

The fourth proportional to 484,569,216,600.30, 726,853,824,900.45 and 484,569,216,600.30 is: 726,853,824,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,569,216,600.30 : 726,853,824,900.45 = 484,569,216,600.30 : x
  2. Step 2: Convert to fraction form
    484,569,216,600.30/726,853,824,900.45 = 484,569,216,600.30/x
  3. Step 3: Cross multiply
    484,569,216,600.30x = 726,853,824,900.45 × 484,569,216,600.30
  4. Step 4: Simplify right side
    484,569,216,600.30x = 352,210,988,514,942,652,514,304
  5. Step 5: Solve for x
    x = 352,210,988,514,942,652,514,304/484,569,216,600.30
  6. Step 6: Final answer
    x = 726,853,824,900.45

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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.