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Finding the Fourth Proportional to 735,060,638.40, 1,102,590,957.60 and 735,060,638.40

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Solution

The fourth proportional to 735,060,638.40, 1,102,590,957.60 and 735,060,638.40 is: 1,102,590,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,060,638.40 : 1,102,590,957.60 = 735,060,638.40 : x
  2. Step 2: Convert to fraction form
    735,060,638.40/1,102,590,957.60 = 735,060,638.40/x
  3. Step 3: Cross multiply
    735,060,638.40x = 1,102,590,957.60 × 735,060,638.40
  4. Step 4: Simplify right side
    735,060,638.40x = 810,471,213,187,523,200
  5. Step 5: Solve for x
    x = 810,471,213,187,523,200/735,060,638.40
  6. Step 6: Final answer
    x = 1,102,590,957.60

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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.