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Finding the Fourth Proportional to 408,254,437.80, 612,381,656.70 and 149,478,100.20

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Solution

The fourth proportional to 408,254,437.80, 612,381,656.70 and 149,478,100.20 is: 224,217,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,254,437.80 : 612,381,656.70 = 149,478,100.20 : x
  2. Step 2: Convert to fraction form
    408,254,437.80/612,381,656.70 = 149,478,100.20/x
  3. Step 3: Cross multiply
    408,254,437.80x = 612,381,656.70 × 149,478,100.20
  4. Step 4: Simplify right side
    408,254,437.80x = 91,537,646,640,844,608
  5. Step 5: Solve for x
    x = 91,537,646,640,844,608/408,254,437.80
  6. Step 6: Final answer
    x = 224,217,150.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.