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Finding the Fourth Proportional to 413,726,818,529.78, 620,590,227,794.70 and 413,726,818,529.78

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Solution

The fourth proportional to 413,726,818,529.78, 620,590,227,794.70 and 413,726,818,529.78 is: 620,590,227,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,726,818,529.78 : 620,590,227,794.70 = 413,726,818,529.78 : x
  2. Step 2: Convert to fraction form
    413,726,818,529.78/620,590,227,794.70 = 413,726,818,529.78/x
  3. Step 3: Cross multiply
    413,726,818,529.78x = 620,590,227,794.70 × 413,726,818,529.78
  4. Step 4: Simplify right side
    413,726,818,529.78x = 256,754,820,556,172,690,456,576
  5. Step 5: Solve for x
    x = 256,754,820,556,172,690,456,576/413,726,818,529.78
  6. Step 6: Final answer
    x = 620,590,227,794.70

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1.5x scale

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.