Finding the Fourth Proportional to 815,771,569,297.91, 1,125,768,265,540.70 and 444,983,067,621.20
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Solution
The fourth proportional to 815,771,569,297.91, 1,125,768,265,540.70 and 444,983,067,621.20 is: 614,078,542,430.74
Step by Step Solution
- Step 1: Write the proportion equation
815,771,569,297.91 : 1,125,768,265,540.70 = 444,983,067,621.20 : x - Step 2: Convert to fraction form
815,771,569,297.91/1,125,768,265,540.70 = 444,983,067,621.20/x - Step 3: Cross multiply
815,771,569,297.91x = 1,125,768,265,540.70 × 444,983,067,621.20 - Step 4: Simplify right side
815,771,569,297.91x = 500,947,816,230,898,311,888,896 - Step 5: Solve for x
x = 500,947,816,230,898,311,888,896/815,771,569,297.91 - Step 6: Final answer
x = 614,078,542,430.74
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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.