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Finding the Fourth Proportional to 397,191,628.80, 594,653,702.40 and 397,191,628.80

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Solution

The fourth proportional to 397,191,628.80, 594,653,702.40 and 397,191,628.80 is: 594,653,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,191,628.80 : 594,653,702.40 = 397,191,628.80 : x
  2. Step 2: Convert to fraction form
    397,191,628.80/594,653,702.40 = 397,191,628.80/x
  3. Step 3: Cross multiply
    397,191,628.80x = 594,653,702.40 × 397,191,628.80
  4. Step 4: Simplify right side
    397,191,628.80x = 236,191,472,628,206,464
  5. Step 5: Solve for x
    x = 236,191,472,628,206,464/397,191,628.80
  6. Step 6: Final answer
    x = 594,653,702.40

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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.