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Finding the Fourth Proportional to 470,540,993.64, 649,483,317.18 and 313,907,714.22

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Solution

The fourth proportional to 470,540,993.64, 649,483,317.18 and 313,907,714.22 is: 433,283,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,540,993.64 : 649,483,317.18 = 313,907,714.22 : x
  2. Step 2: Convert to fraction form
    470,540,993.64/649,483,317.18 = 313,907,714.22/x
  3. Step 3: Cross multiply
    470,540,993.64x = 649,483,317.18 × 313,907,714.22
  4. Step 4: Simplify right side
    470,540,993.64x = 203,877,823,519,997,056
  5. Step 5: Solve for x
    x = 203,877,823,519,997,056/470,540,993.64
  6. Step 6: Final answer
    x = 433,283,871.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.