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Finding the Fourth Proportional to 564,632,394.14, 779,158,546.02 and 313,728,206.78

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Solution

The fourth proportional to 564,632,394.14, 779,158,546.02 and 313,728,206.78 is: 432,925,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,632,394.14 : 779,158,546.02 = 313,728,206.78 : x
  2. Step 2: Convert to fraction form
    564,632,394.14/779,158,546.02 = 313,728,206.78/x
  3. Step 3: Cross multiply
    564,632,394.14x = 779,158,546.02 × 313,728,206.78
  4. Step 4: Simplify right side
    564,632,394.14x = 244,444,013,436,270,880
  5. Step 5: Solve for x
    x = 244,444,013,436,270,880/564,632,394.14
  6. Step 6: Final answer
    x = 432,925,946.11

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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.