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Finding the Fourth Proportional to 133,843,294.40, 200,964,007.20 and 103,585,323.20

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Solution

The fourth proportional to 133,843,294.40, 200,964,007.20 and 103,585,323.20 is: 155,532,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843,294.40 : 200,964,007.20 = 103,585,323.20 : x
  2. Step 2: Convert to fraction form
    133,843,294.40/200,964,007.20 = 103,585,323.20/x
  3. Step 3: Cross multiply
    133,843,294.40x = 200,964,007.20 × 103,585,323.20
  4. Step 4: Simplify right side
    133,843,294.40x = 20,816,921,637,379,128
  5. Step 5: Solve for x
    x = 20,816,921,637,379,128/133,843,294.40
  6. Step 6: Final answer
    x = 155,532,047.61

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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.