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Finding the Fourth Proportional to 413,726,818,529.02, 620,590,227,793.59 and 413,726,818,529.02

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Solution

The fourth proportional to 413,726,818,529.02, 620,590,227,793.59 and 413,726,818,529.02 is: 620,590,227,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,726,818,529.02 : 620,590,227,793.59 = 413,726,818,529.02 : x
  2. Step 2: Convert to fraction form
    413,726,818,529.02/620,590,227,793.59 = 413,726,818,529.02/x
  3. Step 3: Cross multiply
    413,726,818,529.02x = 620,590,227,793.59 × 413,726,818,529.02
  4. Step 4: Simplify right side
    413,726,818,529.02x = 256,754,820,555,241,789,849,600
  5. Step 5: Solve for x
    x = 256,754,820,555,241,789,849,600/413,726,818,529.02
  6. Step 6: Final answer
    x = 620,590,227,793.59

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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.