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Finding the Fourth Proportional to 517,204,797.60, 713,757,738.24 and 282,270,536.04

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Solution

The fourth proportional to 517,204,797.60, 713,757,738.24 and 282,270,536.04 is: 389,541,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,204,797.60 : 713,757,738.24 = 282,270,536.04 : x
  2. Step 2: Convert to fraction form
    517,204,797.60/713,757,738.24 = 282,270,536.04/x
  3. Step 3: Cross multiply
    517,204,797.60x = 713,757,738.24 × 282,270,536.04
  4. Step 4: Simplify right side
    517,204,797.60x = 201,472,779,375,702,816
  5. Step 5: Solve for x
    x = 201,472,779,375,702,816/517,204,797.60
  6. Step 6: Final answer
    x = 389,541,590.32

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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.