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Finding the Fourth Proportional to 721,783,340,200.16, 1,082,675,010,300.30 and 721,783,340,200.16

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Solution

The fourth proportional to 721,783,340,200.16, 1,082,675,010,300.30 and 721,783,340,200.16 is: 1,082,675,010,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,783,340,200.16 : 1,082,675,010,300.30 = 721,783,340,200.16 : x
  2. Step 2: Convert to fraction form
    721,783,340,200.16/1,082,675,010,300.30 = 721,783,340,200.16/x
  3. Step 3: Cross multiply
    721,783,340,200.16x = 1,082,675,010,300.30 × 721,783,340,200.16
  4. Step 4: Simplify right side
    721,783,340,200.16x = 781,456,785,285,793,215,152,128
  5. Step 5: Solve for x
    x = 781,456,785,285,793,215,152,128/721,783,340,200.16
  6. Step 6: Final answer
    x = 1,082,675,010,300.30

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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.