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Finding the Fourth Proportional to 975,963,463,203.90, 1,463,945,194,805.90 and 975,963,463,203.90

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Solution

The fourth proportional to 975,963,463,203.90, 1,463,945,194,805.90 and 975,963,463,203.90 is: 1,463,945,194,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,963,463,203.90 : 1,463,945,194,805.90 = 975,963,463,203.90 : x
  2. Step 2: Convert to fraction form
    975,963,463,203.90/1,463,945,194,805.90 = 975,963,463,203.90/x
  3. Step 3: Cross multiply
    975,963,463,203.90x = 1,463,945,194,805.90 × 975,963,463,203.90
  4. Step 4: Simplify right side
    975,963,463,203.90x = 1,428,757,022,263,474,093,293,568
  5. Step 5: Solve for x
    x = 1,428,757,022,263,474,093,293,568/975,963,463,203.90
  6. Step 6: Final answer
    x = 1,463,945,194,805.90

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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.