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Finding the Fourth Proportional to 271,414,924.05, 407,122,386.08 and 271,414,924.05

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Solution

The fourth proportional to 271,414,924.05, 407,122,386.08 and 271,414,924.05 is: 407,122,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,414,924.05 : 407,122,386.08 = 271,414,924.05 : x
  2. Step 2: Convert to fraction form
    271,414,924.05/407,122,386.08 = 271,414,924.05/x
  3. Step 3: Cross multiply
    271,414,924.05x = 407,122,386.08 × 271,414,924.05
  4. Step 4: Simplify right side
    271,414,924.05x = 110,499,091,495,600,912
  5. Step 5: Solve for x
    x = 110,499,091,495,600,912/271,414,924.05
  6. Step 6: Final answer
    x = 407,122,386.08

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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.