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Finding the Fourth Proportional to 82,290,851.10, 115,056,026.10 and 82,290,851.10

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Solution

The fourth proportional to 82,290,851.10, 115,056,026.10 and 82,290,851.10 is: 115,056,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290,851.10 : 115,056,026.10 = 82,290,851.10 : x
  2. Step 2: Convert to fraction form
    82,290,851.10/115,056,026.10 = 82,290,851.10/x
  3. Step 3: Cross multiply
    82,290,851.10x = 115,056,026.10 × 82,290,851.10
  4. Step 4: Simplify right side
    82,290,851.10x = 9,468,058,311,952,812
  5. Step 5: Solve for x
    x = 9,468,058,311,952,812/82,290,851.10
  6. Step 6: Final answer
    x = 115,056,026.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.