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Finding the Fourth Proportional to 434,405,614.60, 651,608,421.90 and 127,728,728.20

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Solution

The fourth proportional to 434,405,614.60, 651,608,421.90 and 127,728,728.20 is: 191,593,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,405,614.60 : 651,608,421.90 = 127,728,728.20 : x
  2. Step 2: Convert to fraction form
    434,405,614.60/651,608,421.90 = 127,728,728.20/x
  3. Step 3: Cross multiply
    434,405,614.60x = 651,608,421.90 × 127,728,728.20
  4. Step 4: Simplify right side
    434,405,614.60x = 83,229,115,013,696,032
  5. Step 5: Solve for x
    x = 83,229,115,013,696,032/434,405,614.60
  6. Step 6: Final answer
    x = 191,593,092.30

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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.