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Finding the Fourth Proportional to 310,315,060,067.73, 465,472,590,101.51 and 310,315,060,067.73

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Solution

The fourth proportional to 310,315,060,067.73, 465,472,590,101.51 and 310,315,060,067.73 is: 465,472,590,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,067.73 : 465,472,590,101.51 = 310,315,060,067.73 : x
  2. Step 2: Convert to fraction form
    310,315,060,067.73/465,472,590,101.51 = 310,315,060,067.73/x
  3. Step 3: Cross multiply
    310,315,060,067.73x = 465,472,590,101.51 × 310,315,060,067.73
  4. Step 4: Simplify right side
    310,315,060,067.73x = 144,443,154,757,231,935,750,144
  5. Step 5: Solve for x
    x = 144,443,154,757,231,935,750,144/310,315,060,067.73
  6. Step 6: Final answer
    x = 465,472,590,101.51

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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.