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Finding the Fourth Proportional to 470,308,508.82, 649,067,097.54 and 258,652,637.01

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Solution

The fourth proportional to 470,308,508.82, 649,067,097.54 and 258,652,637.01 is: 356,963,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,308,508.82 : 649,067,097.54 = 258,652,637.01 : x
  2. Step 2: Convert to fraction form
    470,308,508.82/649,067,097.54 = 258,652,637.01/x
  3. Step 3: Cross multiply
    470,308,508.82x = 649,067,097.54 × 258,652,637.01
  4. Step 4: Simplify right side
    470,308,508.82x = 167,882,916,375,147,872
  5. Step 5: Solve for x
    x = 167,882,916,375,147,872/470,308,508.82
  6. Step 6: Final answer
    x = 356,963,383.03

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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.