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Finding the Fourth Proportional to 780,965,674, 1,077,729,673.68 and 428,547,562.28

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Solution

The fourth proportional to 780,965,674, 1,077,729,673.68 and 428,547,562.28 is: 591,394,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,965,674 : 1,077,729,673.68 = 428,547,562.28 : x
  2. Step 2: Convert to fraction form
    780,965,674/1,077,729,673.68 = 428,547,562.28/x
  3. Step 3: Cross multiply
    780,965,674x = 1,077,729,673.68 × 428,547,562.28
  4. Step 4: Simplify right side
    780,965,674x = 461,858,424,452,383,872
  5. Step 5: Solve for x
    x = 461,858,424,452,383,872/780,965,674
  6. Step 6: Final answer
    x = 591,394,013.63

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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.