Finding the Fourth Proportional to 12,432,288,870,423, 17,155,407,288,342 and 6,876,493,757,160
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Solution
The fourth proportional to 12,432,288,870,423, 17,155,407,288,342 and 6,876,493,757,160 is: 9,488,924,553,585.21
Step by Step Solution
- Step 1: Write the proportion equation
12,432,288,870,423 : 17,155,407,288,342 = 6,876,493,757,160 : x - Step 2: Convert to fraction form
12,432,288,870,423/17,155,407,288,342 = 6,876,493,757,160/x - Step 3: Cross multiply
12,432,288,870,423x = 17,155,407,288,342 × 6,876,493,757,160 - Step 4: Simplify right side
12,432,288,870,423x = 117,969,051,119,820,926,328,242,176 - Step 5: Solve for x
x = 117,969,051,119,820,926,328,242,176/12,432,288,870,423 - Step 6: Final answer
x = 9,488,924,553,585.21
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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.