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Finding the Fourth Proportional to 413,169,133,669.80, 619,753,700,504.70 and 413,169,133,669.80

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Solution

The fourth proportional to 413,169,133,669.80, 619,753,700,504.70 and 413,169,133,669.80 is: 619,753,700,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,169,133,669.80 : 619,753,700,504.70 = 413,169,133,669.80 : x
  2. Step 2: Convert to fraction form
    413,169,133,669.80/619,753,700,504.70 = 413,169,133,669.80/x
  3. Step 3: Cross multiply
    413,169,133,669.80x = 619,753,700,504.70 × 413,169,133,669.80
  4. Step 4: Simplify right side
    413,169,133,669.80x = 256,063,099,526,179,557,736,448
  5. Step 5: Solve for x
    x = 256,063,099,526,179,557,736,448/413,169,133,669.80
  6. Step 6: Final answer
    x = 619,753,700,504.70

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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.