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Finding the Fourth Proportional to 421,253,999.10, 631,030,693.05 and 421,253,999.10

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Solution

The fourth proportional to 421,253,999.10, 631,030,693.05 and 421,253,999.10 is: 631,030,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,253,999.10 : 631,030,693.05 = 421,253,999.10 : x
  2. Step 2: Convert to fraction form
    421,253,999.10/631,030,693.05 = 421,253,999.10/x
  3. Step 3: Cross multiply
    421,253,999.10x = 631,030,693.05 × 421,253,999.10
  4. Step 4: Simplify right side
    421,253,999.10x = 265,824,203,002,157,056
  5. Step 5: Solve for x
    x = 265,824,203,002,157,056/421,253,999.10
  6. Step 6: Final answer
    x = 631,030,693.05

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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.