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Finding the Fourth Proportional to 105,887,465.70, 147,940,121.10 and 105,887,465.70

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Solution

The fourth proportional to 105,887,465.70, 147,940,121.10 and 105,887,465.70 is: 147,940,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,887,465.70 : 147,940,121.10 = 105,887,465.70 : x
  2. Step 2: Convert to fraction form
    105,887,465.70/147,940,121.10 = 105,887,465.70/x
  3. Step 3: Cross multiply
    105,887,465.70x = 147,940,121.10 × 105,887,465.70
  4. Step 4: Simplify right side
    105,887,465.70x = 15,665,004,498,630,096
  5. Step 5: Solve for x
    x = 15,665,004,498,630,096/105,887,465.70
  6. Step 6: Final answer
    x = 147,940,121.10

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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.