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Finding the Fourth Proportional to 393,986,153.60, 590,979,230.40 and 393,986,153.60

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Solution

The fourth proportional to 393,986,153.60, 590,979,230.40 and 393,986,153.60 is: 590,979,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,986,153.60 : 590,979,230.40 = 393,986,153.60 : x
  2. Step 2: Convert to fraction form
    393,986,153.60/590,979,230.40 = 393,986,153.60/x
  3. Step 3: Cross multiply
    393,986,153.60x = 590,979,230.40 × 393,986,153.60
  4. Step 4: Simplify right side
    393,986,153.60x = 232,837,633,842,784,192
  5. Step 5: Solve for x
    x = 232,837,633,842,784,192/393,986,153.60
  6. Step 6: Final answer
    x = 590,979,230.40

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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.