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Finding the Fourth Proportional to 891,933,414.06, 1,230,372,164.70 and 828,803,758.98

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Solution

The fourth proportional to 891,933,414.06, 1,230,372,164.70 and 828,803,758.98 is: 1,143,288,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,933,414.06 : 1,230,372,164.70 = 828,803,758.98 : x
  2. Step 2: Convert to fraction form
    891,933,414.06/1,230,372,164.70 = 828,803,758.98/x
  3. Step 3: Cross multiply
    891,933,414.06x = 1,230,372,164.70 × 828,803,758.98
  4. Step 4: Simplify right side
    891,933,414.06x = 1,019,737,075,047,719,680
  5. Step 5: Solve for x
    x = 1,019,737,075,047,719,680/891,933,414.06
  6. Step 6: Final answer
    x = 1,143,288,343.02

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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.