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Finding the Fourth Proportional to 200,460,685.20, 300,691,027.80 and 98,424,013.20

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Solution

The fourth proportional to 200,460,685.20, 300,691,027.80 and 98,424,013.20 is: 147,636,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,460,685.20 : 300,691,027.80 = 98,424,013.20 : x
  2. Step 2: Convert to fraction form
    200,460,685.20/300,691,027.80 = 98,424,013.20/x
  3. Step 3: Cross multiply
    200,460,685.20x = 300,691,027.80 × 98,424,013.20
  4. Step 4: Simplify right side
    200,460,685.20x = 29,595,217,689,308,768
  5. Step 5: Solve for x
    x = 29,595,217,689,308,768/200,460,685.20
  6. Step 6: Final answer
    x = 147,636,019.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.