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Finding the Fourth Proportional to 413,169,133,670.55, 619,753,700,505.82 and 413,169,133,670.55

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Solution

The fourth proportional to 413,169,133,670.55, 619,753,700,505.82 and 413,169,133,670.55 is: 619,753,700,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,169,133,670.55 : 619,753,700,505.82 = 413,169,133,670.55 : x
  2. Step 2: Convert to fraction form
    413,169,133,670.55/619,753,700,505.82 = 413,169,133,670.55/x
  3. Step 3: Cross multiply
    413,169,133,670.55x = 619,753,700,505.82 × 413,169,133,670.55
  4. Step 4: Simplify right side
    413,169,133,670.55x = 256,063,099,527,107,136,454,656
  5. Step 5: Solve for x
    x = 256,063,099,527,107,136,454,656/413,169,133,670.55
  6. Step 6: Final answer
    x = 619,753,700,505.82

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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.