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Finding the Fourth Proportional to 420,901,272,078.23, 631,351,908,117.34 and 420,901,272,078.23

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Solution

The fourth proportional to 420,901,272,078.23, 631,351,908,117.34 and 420,901,272,078.23 is: 631,351,908,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,901,272,078.23 : 631,351,908,117.34 = 420,901,272,078.23 : x
  2. Step 2: Convert to fraction form
    420,901,272,078.23/631,351,908,117.34 = 420,901,272,078.23/x
  3. Step 3: Cross multiply
    420,901,272,078.23x = 631,351,908,117.34 × 420,901,272,078.23
  4. Step 4: Simplify right side
    420,901,272,078.23x = 265,736,821,255,606,158,491,648
  5. Step 5: Solve for x
    x = 265,736,821,255,606,158,491,648/420,901,272,078.23
  6. Step 6: Final answer
    x = 631,351,908,117.34

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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.