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Finding the Fourth Proportional to 419,964,875.40, 629,947,313.10 and 419,964,875.40

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Solution

The fourth proportional to 419,964,875.40, 629,947,313.10 and 419,964,875.40 is: 629,947,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,964,875.40 : 629,947,313.10 = 419,964,875.40 : x
  2. Step 2: Convert to fraction form
    419,964,875.40/629,947,313.10 = 419,964,875.40/x
  3. Step 3: Cross multiply
    419,964,875.40x = 629,947,313.10 × 419,964,875.40
  4. Step 4: Simplify right side
    419,964,875.40x = 264,555,744,854,606,272
  5. Step 5: Solve for x
    x = 264,555,744,854,606,272/419,964,875.40
  6. Step 6: Final answer
    x = 629,947,313.10

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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.