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Finding the Fourth Proportional to 393,986,871.60, 590,980,307.40 and 230,728,196.40

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Solution

The fourth proportional to 393,986,871.60, 590,980,307.40 and 230,728,196.40 is: 346,092,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,986,871.60 : 590,980,307.40 = 230,728,196.40 : x
  2. Step 2: Convert to fraction form
    393,986,871.60/590,980,307.40 = 230,728,196.40/x
  3. Step 3: Cross multiply
    393,986,871.60x = 590,980,307.40 × 230,728,196.40
  4. Step 4: Simplify right side
    393,986,871.60x = 136,355,820,434,319,568
  5. Step 5: Solve for x
    x = 136,355,820,434,319,568/393,986,871.60
  6. Step 6: Final answer
    x = 346,092,294.60

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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.