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Finding the Fourth Proportional to 735,060,608.40, 1,102,590,912.60 and 735,060,608.40

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Solution

The fourth proportional to 735,060,608.40, 1,102,590,912.60 and 735,060,608.40 is: 1,102,590,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,060,608.40 : 1,102,590,912.60 = 735,060,608.40 : x
  2. Step 2: Convert to fraction form
    735,060,608.40/1,102,590,912.60 = 735,060,608.40/x
  3. Step 3: Cross multiply
    735,060,608.40x = 1,102,590,912.60 × 735,060,608.40
  4. Step 4: Simplify right side
    735,060,608.40x = 810,471,147,032,067,072
  5. Step 5: Solve for x
    x = 810,471,147,032,067,072/735,060,608.40
  6. Step 6: Final answer
    x = 1,102,590,912.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.