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Finding the Fourth Proportional to 413,817,897,963.15, 620,726,846,944.73 and 413,817,897,963.15

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Solution

The fourth proportional to 413,817,897,963.15, 620,726,846,944.73 and 413,817,897,963.15 is: 620,726,846,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,817,897,963.15 : 620,726,846,944.73 = 413,817,897,963.15 : x
  2. Step 2: Convert to fraction form
    413,817,897,963.15/620,726,846,944.73 = 413,817,897,963.15/x
  3. Step 3: Cross multiply
    413,817,897,963.15x = 620,726,846,944.73 × 413,817,897,963.15
  4. Step 4: Simplify right side
    413,817,897,963.15x = 256,867,879,011,962,100,645,888
  5. Step 5: Solve for x
    x = 256,867,879,011,962,100,645,888/413,817,897,963.15
  6. Step 6: Final answer
    x = 620,726,846,944.73

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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.