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Finding the Fourth Proportional to 407,992,164.57, 612,168,543.14 and 213,857,160.93

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Solution

The fourth proportional to 407,992,164.57, 612,168,543.14 and 213,857,160.93 is: 320,880,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,992,164.57 : 612,168,543.14 = 213,857,160.93 : x
  2. Step 2: Convert to fraction form
    407,992,164.57/612,168,543.14 = 213,857,160.93/x
  3. Step 3: Cross multiply
    407,992,164.57x = 612,168,543.14 × 213,857,160.93
  4. Step 4: Simplify right side
    407,992,164.57x = 130,916,626,645,505,344
  5. Step 5: Solve for x
    x = 130,916,626,645,505,344/407,992,164.57
  6. Step 6: Final answer
    x = 320,880,247.26

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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.