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Finding the Fourth Proportional to 413,726,818,527.78, 620,590,227,791.70 and 413,726,818,527.78

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Solution

The fourth proportional to 413,726,818,527.78, 620,590,227,791.70 and 413,726,818,527.78 is: 620,590,227,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,726,818,527.78 : 620,590,227,791.70 = 413,726,818,527.78 : x
  2. Step 2: Convert to fraction form
    413,726,818,527.78/620,590,227,791.70 = 413,726,818,527.78/x
  3. Step 3: Cross multiply
    413,726,818,527.78x = 620,590,227,791.70 × 413,726,818,527.78
  4. Step 4: Simplify right side
    413,726,818,527.78x = 256,754,820,553,690,300,022,784
  5. Step 5: Solve for x
    x = 256,754,820,553,690,300,022,784/413,726,818,527.78
  6. Step 6: Final answer
    x = 620,590,227,791.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.