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Finding the Fourth Proportional to 902,804,912.10, 1,354,207,368.15 and 808,102,125.90

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Solution

The fourth proportional to 902,804,912.10, 1,354,207,368.15 and 808,102,125.90 is: 1,212,153,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,804,912.10 : 1,354,207,368.15 = 808,102,125.90 : x
  2. Step 2: Convert to fraction form
    902,804,912.10/1,354,207,368.15 = 808,102,125.90/x
  3. Step 3: Cross multiply
    902,804,912.10x = 1,354,207,368.15 × 808,102,125.90
  4. Step 4: Simplify right side
    902,804,912.10x = 1,094,337,853,111,458,944
  5. Step 5: Solve for x
    x = 1,094,337,853,111,458,944/902,804,912.10
  6. Step 6: Final answer
    x = 1,212,153,188.85

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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.