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Finding the Fourth Proportional to 397,564,121.64, 595,570,375.68 and 309,714,297.12

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Solution

The fourth proportional to 397,564,121.64, 595,570,375.68 and 309,714,297.12 is: 463,967,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,564,121.64 : 595,570,375.68 = 309,714,297.12 : x
  2. Step 2: Convert to fraction form
    397,564,121.64/595,570,375.68 = 309,714,297.12/x
  3. Step 3: Cross multiply
    397,564,121.64x = 595,570,375.68 × 309,714,297.12
  4. Step 4: Simplify right side
    397,564,121.64x = 184,456,660,289,225,536
  5. Step 5: Solve for x
    x = 184,456,660,289,225,536/397,564,121.64
  6. Step 6: Final answer
    x = 463,967,069.08

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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.