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Finding the Fourth Proportional to 2,197,686,048,200.40, 3,296,529,072,301 and 2,197,686,048,200.40

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Solution

The fourth proportional to 2,197,686,048,200.40, 3,296,529,072,301 and 2,197,686,048,200.40 is: 3,296,529,072,301

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,686,048,200.40 : 3,296,529,072,301 = 2,197,686,048,200.40 : x
  2. Step 2: Convert to fraction form
    2,197,686,048,200.40/3,296,529,072,301 = 2,197,686,048,200.40/x
  3. Step 3: Cross multiply
    2,197,686,048,200.40x = 3,296,529,072,301 × 2,197,686,048,200.40
  4. Step 4: Simplify right side
    2,197,686,048,200.40x = 7,244,735,949,682,914,774,482,944
  5. Step 5: Solve for x
    x = 7,244,735,949,682,914,774,482,944/2,197,686,048,200.40
  6. Step 6: Final answer
    x = 3,296,529,072,301

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Why These Related Problems?

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