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Finding the Fourth Proportional to 398,628,930.30, 596,809,654.65 and 398,628,930.30

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Solution

The fourth proportional to 398,628,930.30, 596,809,654.65 and 398,628,930.30 is: 596,809,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,628,930.30 : 596,809,654.65 = 398,628,930.30 : x
  2. Step 2: Convert to fraction form
    398,628,930.30/596,809,654.65 = 398,628,930.30/x
  3. Step 3: Cross multiply
    398,628,930.30x = 596,809,654.65 × 398,628,930.30
  4. Step 4: Simplify right side
    398,628,930.30x = 237,905,594,225,841,920
  5. Step 5: Solve for x
    x = 237,905,594,225,841,920/398,628,930.30
  6. Step 6: Final answer
    x = 596,809,654.65

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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.