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Finding the Fourth Proportional to 408,350,999.40, 612,526,499.10 and 408,350,999.40

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Solution

The fourth proportional to 408,350,999.40, 612,526,499.10 and 408,350,999.40 is: 612,526,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,350,999.40 : 612,526,499.10 = 408,350,999.40 : x
  2. Step 2: Convert to fraction form
    408,350,999.40/612,526,499.10 = 408,350,999.40/x
  3. Step 3: Cross multiply
    408,350,999.40x = 612,526,499.10 × 408,350,999.40
  4. Step 4: Simplify right side
    408,350,999.40x = 250,125,808,066,468,192
  5. Step 5: Solve for x
    x = 250,125,808,066,468,192/408,350,999.40
  6. Step 6: Final answer
    x = 612,526,499.10

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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.