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Finding the Fourth Proportional to 1,494,742,723.97, 2,062,704,995.01 and 825,673,368.78

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Solution

The fourth proportional to 1,494,742,723.97, 2,062,704,995.01 and 825,673,368.78 is: 1,139,407,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,742,723.97 : 2,062,704,995.01 = 825,673,368.78 : x
  2. Step 2: Convert to fraction form
    1,494,742,723.97/2,062,704,995.01 = 825,673,368.78/x
  3. Step 3: Cross multiply
    1,494,742,723.97x = 2,062,704,995.01 × 825,673,368.78
  4. Step 4: Simplify right side
    1,494,742,723.97x = 1,703,120,582,029,239,808
  5. Step 5: Solve for x
    x = 1,703,120,582,029,239,808/1,494,742,723.97
  6. Step 6: Final answer
    x = 1,139,407,173.37

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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.