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Finding the Fourth Proportional to 105,887,433.70, 147,940,076.30 and 105,887,433.70

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Solution

The fourth proportional to 105,887,433.70, 147,940,076.30 and 105,887,433.70 is: 147,940,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,887,433.70 : 147,940,076.30 = 105,887,433.70 : x
  2. Step 2: Convert to fraction form
    105,887,433.70/147,940,076.30 = 105,887,433.70/x
  3. Step 3: Cross multiply
    105,887,433.70x = 147,940,076.30 × 105,887,433.70
  4. Step 4: Simplify right side
    105,887,433.70x = 15,664,995,020,789,194
  5. Step 5: Solve for x
    x = 15,664,995,020,789,194/105,887,433.70
  6. Step 6: Final answer
    x = 147,940,076.30

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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.