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Finding the Fourth Proportional to 619,381,314,999.73, 929,071,972,499.59 and 619,381,314,999.73

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Solution

The fourth proportional to 619,381,314,999.73, 929,071,972,499.59 and 619,381,314,999.73 is: 929,071,972,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,381,314,999.73 : 929,071,972,499.59 = 619,381,314,999.73 : x
  2. Step 2: Convert to fraction form
    619,381,314,999.73/929,071,972,499.59 = 619,381,314,999.73/x
  3. Step 3: Cross multiply
    619,381,314,999.73x = 929,071,972,499.59 × 619,381,314,999.73
  4. Step 4: Simplify right side
    619,381,314,999.73x = 575,449,820,056,188,983,705,600
  5. Step 5: Solve for x
    x = 575,449,820,056,188,983,705,600/619,381,314,999.73
  6. Step 6: Final answer
    x = 929,071,972,499.59

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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.