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Finding the Fourth Proportional to 271,836,009.60, 407,754,014.40 and 271,836,009.60

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Solution

The fourth proportional to 271,836,009.60, 407,754,014.40 and 271,836,009.60 is: 407,754,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,836,009.60 : 407,754,014.40 = 271,836,009.60 : x
  2. Step 2: Convert to fraction form
    271,836,009.60/407,754,014.40 = 271,836,009.60/x
  3. Step 3: Cross multiply
    271,836,009.60x = 407,754,014.40 × 271,836,009.60
  4. Step 4: Simplify right side
    271,836,009.60x = 110,842,224,172,876,944
  5. Step 5: Solve for x
    x = 110,842,224,172,876,944/271,836,009.60
  6. Step 6: Final answer
    x = 407,754,014.40

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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.