Finding the Fourth Proportional to 8,103,008,171.58, 11,181,911,113.74 and 4,486,193,106.63
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Solution
The fourth proportional to 8,103,008,171.58, 11,181,911,113.74 and 4,486,193,106.63 is: 6,190,813,521.99
Step by Step Solution
- Step 1: Write the proportion equation
8,103,008,171.58 : 11,181,911,113.74 = 4,486,193,106.63 : x - Step 2: Convert to fraction form
8,103,008,171.58/11,181,911,113.74 = 4,486,193,106.63/x - Step 3: Cross multiply
8,103,008,171.58x = 11,181,911,113.74 × 4,486,193,106.63 - Step 4: Simplify right side
8,103,008,171.58x = 50,164,212,557,409,771,520 - Step 5: Solve for x
x = 50,164,212,557,409,771,520/8,103,008,171.58 - Step 6: Final answer
x = 6,190,813,521.99
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1.5x scale
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.