Finding the Fourth Proportional to 8,210,901,914.16, 11,331,283,625.82 and 4,642,532,168.28
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Solution
The fourth proportional to 8,210,901,914.16, 11,331,283,625.82 and 4,642,532,168.28 is: 6,406,829,516.51
Step by Step Solution
- Step 1: Write the proportion equation
8,210,901,914.16 : 11,331,283,625.82 = 4,642,532,168.28 : x - Step 2: Convert to fraction form
8,210,901,914.16/11,331,283,625.82 = 4,642,532,168.28/x - Step 3: Cross multiply
8,210,901,914.16x = 11,331,283,625.82 × 4,642,532,168.28 - Step 4: Simplify right side
8,210,901,914.16x = 52,605,848,740,773,781,504 - Step 5: Solve for x
x = 52,605,848,740,773,781,504/8,210,901,914.16 - Step 6: Final answer
x = 6,406,829,516.51
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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.