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Finding the Fourth Proportional to 427,719,812.32, 590,253,777.84 and 232,149,564.64

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Solution

The fourth proportional to 427,719,812.32, 590,253,777.84 and 232,149,564.64 is: 320,366,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,719,812.32 : 590,253,777.84 = 232,149,564.64 : x
  2. Step 2: Convert to fraction form
    427,719,812.32/590,253,777.84 = 232,149,564.64/x
  3. Step 3: Cross multiply
    427,719,812.32x = 590,253,777.84 × 232,149,564.64
  4. Step 4: Simplify right side
    427,719,812.32x = 137,027,157,552,671,280
  5. Step 5: Solve for x
    x = 137,027,157,552,671,280/427,719,812.32
  6. Step 6: Final answer
    x = 320,366,636.30

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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.