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Finding the Fourth Proportional to 264,736,644.80, 397,104,967.20 and 196,712,196.80

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Solution

The fourth proportional to 264,736,644.80, 397,104,967.20 and 196,712,196.80 is: 295,068,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,736,644.80 : 397,104,967.20 = 196,712,196.80 : x
  2. Step 2: Convert to fraction form
    264,736,644.80/397,104,967.20 = 196,712,196.80/x
  3. Step 3: Cross multiply
    264,736,644.80x = 397,104,967.20 × 196,712,196.80
  4. Step 4: Simplify right side
    264,736,644.80x = 78,115,390,458,103,952
  5. Step 5: Solve for x
    x = 78,115,390,458,103,952/264,736,644.80
  6. Step 6: Final answer
    x = 295,068,295.20

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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.