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Finding the Fourth Proportional to 397,267,286.40, 595,900,929.60 and 397,267,286.40

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Solution

The fourth proportional to 397,267,286.40, 595,900,929.60 and 397,267,286.40 is: 595,900,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,267,286.40 : 595,900,929.60 = 397,267,286.40 : x
  2. Step 2: Convert to fraction form
    397,267,286.40/595,900,929.60 = 397,267,286.40/x
  3. Step 3: Cross multiply
    397,267,286.40x = 595,900,929.60 × 397,267,286.40
  4. Step 4: Simplify right side
    397,267,286.40x = 236,731,945,265,429,440
  5. Step 5: Solve for x
    x = 236,731,945,265,429,440/397,267,286.40
  6. Step 6: Final answer
    x = 595,900,929.60

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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.