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Finding the Fourth Proportional to 892,015,800.08, 1,230,485,906.48 and 828,886,317.28

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Solution

The fourth proportional to 892,015,800.08, 1,230,485,906.48 and 828,886,317.28 is: 1,143,402,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,015,800.08 : 1,230,485,906.48 = 828,886,317.28 : x
  2. Step 2: Convert to fraction form
    892,015,800.08/1,230,485,906.48 = 828,886,317.28/x
  3. Step 3: Cross multiply
    892,015,800.08x = 1,230,485,906.48 × 828,886,317.28
  4. Step 4: Simplify right side
    892,015,800.08x = 1,019,932,931,487,149,696
  5. Step 5: Solve for x
    x = 1,019,932,931,487,149,696/892,015,800.08
  6. Step 6: Final answer
    x = 1,143,402,315.74

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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.