Finding the Fourth Proportional to 553,941,705,236.20, 829,830,433,112 and 381,611,765,976.30
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Solution
The fourth proportional to 553,941,705,236.20, 829,830,433,112 and 381,611,765,976.30 is: 571,672,170,640.63
Step by Step Solution
- Step 1: Write the proportion equation
553,941,705,236.20 : 829,830,433,112 = 381,611,765,976.30 : x - Step 2: Convert to fraction form
553,941,705,236.20/829,830,433,112 = 381,611,765,976.30/x - Step 3: Cross multiply
553,941,705,236.20x = 829,830,433,112 × 381,611,765,976.30 - Step 4: Simplify right side
553,941,705,236.20x = 316,673,057,040,748,173,590,528 - Step 5: Solve for x
x = 316,673,057,040,748,173,590,528/553,941,705,236.20 - Step 6: Final answer
x = 571,672,170,640.63
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.