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Finding the Fourth Proportional to 1,380,443,797.33, 1,905,059,449.94 and 816,412,178.01

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Solution

The fourth proportional to 1,380,443,797.33, 1,905,059,449.94 and 816,412,178.01 is: 1,126,676,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,443,797.33 : 1,905,059,449.94 = 816,412,178.01 : x
  2. Step 2: Convert to fraction form
    1,380,443,797.33/1,905,059,449.94 = 816,412,178.01/x
  3. Step 3: Cross multiply
    1,380,443,797.33x = 1,905,059,449.94 × 816,412,178.01
  4. Step 4: Simplify right side
    1,380,443,797.33x = 1,555,313,734,764,047,872
  5. Step 5: Solve for x
    x = 1,555,313,734,764,047,872/1,380,443,797.33
  6. Step 6: Final answer
    x = 1,126,676,607.75

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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.