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Finding the Fourth Proportional to 104,292,105.30, 146,311,278.30 and 104,292,105.30

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Solution

The fourth proportional to 104,292,105.30, 146,311,278.30 and 104,292,105.30 is: 146,311,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,292,105.30 : 146,311,278.30 = 104,292,105.30 : x
  2. Step 2: Convert to fraction form
    104,292,105.30/146,311,278.30 = 104,292,105.30/x
  3. Step 3: Cross multiply
    104,292,105.30x = 146,311,278.30 × 104,292,105.30
  4. Step 4: Simplify right side
    104,292,105.30x = 15,259,111,243,041,206
  5. Step 5: Solve for x
    x = 15,259,111,243,041,206/104,292,105.30
  6. Step 6: Final answer
    x = 146,311,278.30

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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.