Finding the Fourth Proportional to 815,771,569,310.05, 1,125,768,265,557.40 and 444,983,067,633.40
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Solution
The fourth proportional to 815,771,569,310.05, 1,125,768,265,557.40 and 444,983,067,633.40 is: 614,078,542,447.55
Step by Step Solution
- Step 1: Write the proportion equation
815,771,569,310.05 : 1,125,768,265,557.40 = 444,983,067,633.40 : x - Step 2: Convert to fraction form
815,771,569,310.05/1,125,768,265,557.40 = 444,983,067,633.40/x - Step 3: Cross multiply
815,771,569,310.05x = 1,125,768,265,557.40 × 444,983,067,633.40 - Step 4: Simplify right side
815,771,569,310.05x = 500,947,816,252,063,910,723,584 - Step 5: Solve for x
x = 500,947,816,252,063,910,723,584/815,771,569,310.05 - Step 6: Final answer
x = 614,078,542,447.55
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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.