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Finding the Fourth Proportional to 393,985,772.40, 590,978,658.60 and 230,727,097.20

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Solution

The fourth proportional to 393,985,772.40, 590,978,658.60 and 230,727,097.20 is: 346,090,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,985,772.40 : 590,978,658.60 = 230,727,097.20 : x
  2. Step 2: Convert to fraction form
    393,985,772.40/590,978,658.60 = 230,727,097.20/x
  3. Step 3: Cross multiply
    393,985,772.40x = 590,978,658.60 × 230,727,097.20
  4. Step 4: Simplify right side
    393,985,772.40x = 136,354,790,405,927,808
  5. Step 5: Solve for x
    x = 136,354,790,405,927,808/393,985,772.40
  6. Step 6: Final answer
    x = 346,090,645.80

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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.