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Finding the Fourth Proportional to 314,899,509.60, 472,002,843.60 and 110,322,280.80

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Solution

The fourth proportional to 314,899,509.60, 472,002,843.60 and 110,322,280.80 is: 165,362,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,899,509.60 : 472,002,843.60 = 110,322,280.80 : x
  2. Step 2: Convert to fraction form
    314,899,509.60/472,002,843.60 = 110,322,280.80/x
  3. Step 3: Cross multiply
    314,899,509.60x = 472,002,843.60 × 110,322,280.80
  4. Step 4: Simplify right side
    314,899,509.60x = 52,072,430,250,037,688
  5. Step 5: Solve for x
    x = 52,072,430,250,037,688/314,899,509.60
  6. Step 6: Final answer
    x = 165,362,055.71

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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.