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Finding the Fourth Proportional to 200,460,761.70, 300,691,142.55 and 98,424,089.70

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Solution

The fourth proportional to 200,460,761.70, 300,691,142.55 and 98,424,089.70 is: 147,636,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,460,761.70 : 300,691,142.55 = 98,424,089.70 : x
  2. Step 2: Convert to fraction form
    200,460,761.70/300,691,142.55 = 98,424,089.70/x
  3. Step 3: Cross multiply
    200,460,761.70x = 300,691,142.55 × 98,424,089.70
  4. Step 4: Simplify right side
    200,460,761.70x = 29,595,251,986,336,688
  5. Step 5: Solve for x
    x = 29,595,251,986,336,688/200,460,761.70
  6. Step 6: Final answer
    x = 147,636,134.55

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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.