Finding the Fourth Proportional to 996,226,270,438.05, 1,374,793,578,989.50 and 539,485,542,105.40
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Solution
The fourth proportional to 996,226,270,438.05, 1,374,793,578,989.50 and 539,485,542,105.40 is: 744,490,766,056.64
Step by Step Solution
- Step 1: Write the proportion equation
996,226,270,438.05 : 1,374,793,578,989.50 = 539,485,542,105.40 : x - Step 2: Convert to fraction form
996,226,270,438.05/1,374,793,578,989.50 = 539,485,542,105.40/x - Step 3: Cross multiply
996,226,270,438.05x = 1,374,793,578,989.50 × 539,485,542,105.40 - Step 4: Simplify right side
996,226,270,438.05x = 741,681,259,244,173,538,623,488 - Step 5: Solve for x
x = 741,681,259,244,173,538,623,488/996,226,270,438.05 - Step 6: Final answer
x = 744,490,766,056.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.