Finding the Fourth Proportional to 779,269,688,963.82, 1,168,086,287,207.50 and 262,191,676,999.48
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Solution
The fourth proportional to 779,269,688,963.82, 1,168,086,287,207.50 and 262,191,676,999.48 is: 393,012,209,842.61
Step by Step Solution
- Step 1: Write the proportion equation
779,269,688,963.82 : 1,168,086,287,207.50 = 262,191,676,999.48 : x - Step 2: Convert to fraction form
779,269,688,963.82/1,168,086,287,207.50 = 262,191,676,999.48/x - Step 3: Cross multiply
779,269,688,963.82x = 1,168,086,287,207.50 × 262,191,676,999.48 - Step 4: Simplify right side
779,269,688,963.82x = 306,262,502,523,030,701,342,720 - Step 5: Solve for x
x = 306,262,502,523,030,701,342,720/779,269,688,963.82 - Step 6: Final answer
x = 393,012,209,842.61
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.