Finding the Fourth Proportional to 509,868,376,236.68, 703,680,058,654.64 and 290,190,479,842.76
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Solution
The fourth proportional to 509,868,376,236.68, 703,680,058,654.64 and 290,190,479,842.76 is: 400,497,978,289.95
Step by Step Solution
- Step 1: Write the proportion equation
509,868,376,236.68 : 703,680,058,654.64 = 290,190,479,842.76 : x - Step 2: Convert to fraction form
509,868,376,236.68/703,680,058,654.64 = 290,190,479,842.76/x - Step 3: Cross multiply
509,868,376,236.68x = 703,680,058,654.64 × 290,190,479,842.76 - Step 4: Simplify right side
509,868,376,236.68x = 204,201,253,876,771,483,287,552 - Step 5: Solve for x
x = 204,201,253,876,771,483,287,552/509,868,376,236.68 - Step 6: Final answer
x = 400,497,978,289.95
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.