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Finding the Fourth Proportional to 420,901,272,003.30, 631,351,908,004.95 and 420,901,272,003.30

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Solution

The fourth proportional to 420,901,272,003.30, 631,351,908,004.95 and 420,901,272,003.30 is: 631,351,908,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,901,272,003.30 : 631,351,908,004.95 = 420,901,272,003.30 : x
  2. Step 2: Convert to fraction form
    420,901,272,003.30/631,351,908,004.95 = 420,901,272,003.30/x
  3. Step 3: Cross multiply
    420,901,272,003.30x = 631,351,908,004.95 × 420,901,272,003.30
  4. Step 4: Simplify right side
    420,901,272,003.30x = 265,736,821,160,993,867,431,936
  5. Step 5: Solve for x
    x = 265,736,821,160,993,867,431,936/420,901,272,003.30
  6. Step 6: Final answer
    x = 631,351,908,004.95

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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.