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Finding the Fourth Proportional to 356,616,005.30, 498,242,040.70 and 356,616,005.30

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Solution

The fourth proportional to 356,616,005.30, 498,242,040.70 and 356,616,005.30 is: 498,242,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,616,005.30 : 498,242,040.70 = 356,616,005.30 : x
  2. Step 2: Convert to fraction form
    356,616,005.30/498,242,040.70 = 356,616,005.30/x
  3. Step 3: Cross multiply
    356,616,005.30x = 498,242,040.70 × 356,616,005.30
  4. Step 4: Simplify right side
    356,616,005.30x = 177,681,086,226,954,016
  5. Step 5: Solve for x
    x = 177,681,086,226,954,016/356,616,005.30
  6. Step 6: Final answer
    x = 498,242,040.70

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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.