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Finding the Fourth Proportional to 267,215,312.70, 400,822,969.05 and 267,215,312.70

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Solution

The fourth proportional to 267,215,312.70, 400,822,969.05 and 267,215,312.70 is: 400,822,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,215,312.70 : 400,822,969.05 = 267,215,312.70 : x
  2. Step 2: Convert to fraction form
    267,215,312.70/400,822,969.05 = 267,215,312.70/x
  3. Step 3: Cross multiply
    267,215,312.70x = 400,822,969.05 × 267,215,312.70
  4. Step 4: Simplify right side
    267,215,312.70x = 107,106,035,012,038,176
  5. Step 5: Solve for x
    x = 107,106,035,012,038,176/267,215,312.70
  6. Step 6: Final answer
    x = 400,822,969.05

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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.