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Finding the Fourth Proportional to 399,807,684.96, 599,724,803.04 and 137,489,662.56

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Solution

The fourth proportional to 399,807,684.96, 599,724,803.04 and 137,489,662.56 is: 206,239,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,807,684.96 : 599,724,803.04 = 137,489,662.56 : x
  2. Step 2: Convert to fraction form
    399,807,684.96/599,724,803.04 = 137,489,662.56/x
  3. Step 3: Cross multiply
    399,807,684.96x = 599,724,803.04 × 137,489,662.56
  4. Step 4: Simplify right side
    399,807,684.96x = 82,455,960,798,832,064
  5. Step 5: Solve for x
    x = 82,455,960,798,832,064/399,807,684.96
  6. Step 6: Final answer
    x = 206,239,059.18

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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.