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Finding the Fourth Proportional to 267,427,298.10, 401,140,947.15 and 267,427,298.10

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Solution

The fourth proportional to 267,427,298.10, 401,140,947.15 and 267,427,298.10 is: 401,140,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,427,298.10 : 401,140,947.15 = 267,427,298.10 : x
  2. Step 2: Convert to fraction form
    267,427,298.10/401,140,947.15 = 267,427,298.10/x
  3. Step 3: Cross multiply
    267,427,298.10x = 401,140,947.15 × 267,427,298.10
  4. Step 4: Simplify right side
    267,427,298.10x = 107,276,039,653,599,392
  5. Step 5: Solve for x
    x = 107,276,039,653,599,392/267,427,298.10
  6. Step 6: Final answer
    x = 401,140,947.15

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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.