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Finding the Fourth Proportional to 894,093,765.36, 1,233,890,027.12 and 497,642,147.32

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Solution

The fourth proportional to 894,093,765.36, 1,233,890,027.12 and 497,642,147.32 is: 686,768,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,093,765.36 : 1,233,890,027.12 = 497,642,147.32 : x
  2. Step 2: Convert to fraction form
    894,093,765.36/1,233,890,027.12 = 497,642,147.32/x
  3. Step 3: Cross multiply
    894,093,765.36x = 1,233,890,027.12 × 497,642,147.32
  4. Step 4: Simplify right side
    894,093,765.36x = 614,035,682,652,729,728
  5. Step 5: Solve for x
    x = 614,035,682,652,729,728/894,093,765.36
  6. Step 6: Final answer
    x = 686,768,778.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.