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Finding the Fourth Proportional to 3,606,423,405,834.20, 5,409,635,108,751.40 and 3,606,423,405,834.20

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Solution

The fourth proportional to 3,606,423,405,834.20, 5,409,635,108,751.40 and 3,606,423,405,834.20 is: 5,409,635,108,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606,423,405,834.20 : 5,409,635,108,751.40 = 3,606,423,405,834.20 : x
  2. Step 2: Convert to fraction form
    3,606,423,405,834.20/5,409,635,108,751.40 = 3,606,423,405,834.20/x
  3. Step 3: Cross multiply
    3,606,423,405,834.20x = 5,409,635,108,751.40 × 3,606,423,405,834.20
  4. Step 4: Simplify right side
    3,606,423,405,834.20x = 19,509,434,673,223,490,561,114,112
  5. Step 5: Solve for x
    x = 19,509,434,673,223,490,561,114,112/3,606,423,405,834.20
  6. Step 6: Final answer
    x = 5,409,635,108,751.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.