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Finding the Fourth Proportional to 206,957,669.20, 310,436,503.80 and 176,181,330.40

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Solution

The fourth proportional to 206,957,669.20, 310,436,503.80 and 176,181,330.40 is: 264,271,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,957,669.20 : 310,436,503.80 = 176,181,330.40 : x
  2. Step 2: Convert to fraction form
    206,957,669.20/310,436,503.80 = 176,181,330.40/x
  3. Step 3: Cross multiply
    206,957,669.20x = 310,436,503.80 × 176,181,330.40
  4. Step 4: Simplify right side
    206,957,669.20x = 54,693,116,244,208,656
  5. Step 5: Solve for x
    x = 54,693,116,244,208,656/206,957,669.20
  6. Step 6: Final answer
    x = 264,271,995.60

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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.