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Finding the Fourth Proportional to 274,751,029.20, 385,671,807.60 and 274,751,029.20

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Solution

The fourth proportional to 274,751,029.20, 385,671,807.60 and 274,751,029.20 is: 385,671,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,751,029.20 : 385,671,807.60 = 274,751,029.20 : x
  2. Step 2: Convert to fraction form
    274,751,029.20/385,671,807.60 = 274,751,029.20/x
  3. Step 3: Cross multiply
    274,751,029.20x = 385,671,807.60 × 274,751,029.20
  4. Step 4: Simplify right side
    274,751,029.20x = 105,963,726,071,524,384
  5. Step 5: Solve for x
    x = 105,963,726,071,524,384/274,751,029.20
  6. Step 6: Final answer
    x = 385,671,807.60

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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.