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Finding the Fourth Proportional to 420,060,143.82, 579,667,802.82 and 231,884,396.01

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Solution

The fourth proportional to 420,060,143.82, 579,667,802.82 and 231,884,396.01 is: 319,992,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,060,143.82 : 579,667,802.82 = 231,884,396.01 : x
  2. Step 2: Convert to fraction form
    420,060,143.82/579,667,802.82 = 231,884,396.01/x
  3. Step 3: Cross multiply
    420,060,143.82x = 579,667,802.82 × 231,884,396.01
  4. Step 4: Simplify right side
    420,060,143.82x = 134,415,918,343,359,488
  5. Step 5: Solve for x
    x = 134,415,918,343,359,488/420,060,143.82
  6. Step 6: Final answer
    x = 319,992,078.09

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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.