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Finding the Fourth Proportional to 613,479,743,999.90, 920,219,615,999.80 and 613,479,743,999.90

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Solution

The fourth proportional to 613,479,743,999.90, 920,219,615,999.80 and 613,479,743,999.90 is: 920,219,615,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,479,743,999.90 : 920,219,615,999.80 = 613,479,743,999.90 : x
  2. Step 2: Convert to fraction form
    613,479,743,999.90/920,219,615,999.80 = 613,479,743,999.90/x
  3. Step 3: Cross multiply
    613,479,743,999.90x = 920,219,615,999.80 × 613,479,743,999.90
  4. Step 4: Simplify right side
    613,479,743,999.90x = 564,536,094,447,243,622,350,848
  5. Step 5: Solve for x
    x = 564,536,094,447,243,622,350,848/613,479,743,999.90
  6. Step 6: Final answer
    x = 920,219,615,999.80

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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.