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Finding the Fourth Proportional to 398,664,278.40, 597,996,417.60 and 398,664,278.40

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Solution

The fourth proportional to 398,664,278.40, 597,996,417.60 and 398,664,278.40 is: 597,996,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,664,278.40 : 597,996,417.60 = 398,664,278.40 : x
  2. Step 2: Convert to fraction form
    398,664,278.40/597,996,417.60 = 398,664,278.40/x
  3. Step 3: Cross multiply
    398,664,278.40x = 597,996,417.60 × 398,664,278.40
  4. Step 4: Simplify right side
    398,664,278.40x = 238,399,810,308,289,056
  5. Step 5: Solve for x
    x = 238,399,810,308,289,056/398,664,278.40
  6. Step 6: Final answer
    x = 597,996,417.60

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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.