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Finding the Fourth Proportional to 105,945,203.10, 147,983,162.10 and 105,945,203.10

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Solution

The fourth proportional to 105,945,203.10, 147,983,162.10 and 105,945,203.10 is: 147,983,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,945,203.10 : 147,983,162.10 = 105,945,203.10 : x
  2. Step 2: Convert to fraction form
    105,945,203.10/147,983,162.10 = 105,945,203.10/x
  3. Step 3: Cross multiply
    105,945,203.10x = 147,983,162.10 × 105,945,203.10
  4. Step 4: Simplify right side
    105,945,203.10x = 15,678,106,164,064,720
  5. Step 5: Solve for x
    x = 15,678,106,164,064,720/105,945,203.10
  6. Step 6: Final answer
    x = 147,983,162.10

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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.