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Finding the Fourth Proportional to 393,014,268.80, 588,387,662.40 and 393,014,268.80

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Solution

The fourth proportional to 393,014,268.80, 588,387,662.40 and 393,014,268.80 is: 588,387,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,014,268.80 : 588,387,662.40 = 393,014,268.80 : x
  2. Step 2: Convert to fraction form
    393,014,268.80/588,387,662.40 = 393,014,268.80/x
  3. Step 3: Cross multiply
    393,014,268.80x = 588,387,662.40 × 393,014,268.80
  4. Step 4: Simplify right side
    393,014,268.80x = 231,244,746,909,077,248
  5. Step 5: Solve for x
    x = 231,244,746,909,077,248/393,014,268.80
  6. Step 6: Final answer
    x = 588,387,662.40

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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.