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Finding the Fourth Proportional to 420,901,271,999.67, 631,351,907,999.51 and 420,901,271,999.67

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Solution

The fourth proportional to 420,901,271,999.67, 631,351,907,999.51 and 420,901,271,999.67 is: 631,351,907,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,901,271,999.67 : 631,351,907,999.51 = 420,901,271,999.67 : x
  2. Step 2: Convert to fraction form
    420,901,271,999.67/631,351,907,999.51 = 420,901,271,999.67/x
  3. Step 3: Cross multiply
    420,901,271,999.67x = 631,351,907,999.51 × 420,901,271,999.67
  4. Step 4: Simplify right side
    420,901,271,999.67x = 265,736,821,156,412,378,841,088
  5. Step 5: Solve for x
    x = 265,736,821,156,412,378,841,088/420,901,271,999.67
  6. Step 6: Final answer
    x = 631,351,907,999.51

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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.