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Finding the Fourth Proportional to 641,609,957.40, 962,414,936.10 and 232,679,448.60

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Solution

The fourth proportional to 641,609,957.40, 962,414,936.10 and 232,679,448.60 is: 349,019,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,609,957.40 : 962,414,936.10 = 232,679,448.60 : x
  2. Step 2: Convert to fraction form
    641,609,957.40/962,414,936.10 = 232,679,448.60/x
  3. Step 3: Cross multiply
    641,609,957.40x = 962,414,936.10 × 232,679,448.60
  4. Step 4: Simplify right side
    641,609,957.40x = 223,934,176,656,152,224
  5. Step 5: Solve for x
    x = 223,934,176,656,152,224/641,609,957.40
  6. Step 6: Final answer
    x = 349,019,172.90

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Why These Related Problems?

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