Finding the Fourth Proportional to 379,171,426,149.76, 568,696,595,784.36 and 110,497,560,581.12
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Solution
The fourth proportional to 379,171,426,149.76, 568,696,595,784.36 and 110,497,560,581.12 is: 165,728,697,394.35
Step by Step Solution
- Step 1: Write the proportion equation
379,171,426,149.76 : 568,696,595,784.36 = 110,497,560,581.12 : x - Step 2: Convert to fraction form
379,171,426,149.76/568,696,595,784.36 = 110,497,560,581.12/x - Step 3: Cross multiply
379,171,426,149.76x = 568,696,595,784.36 × 110,497,560,581.12 - Step 4: Simplify right side
379,171,426,149.76x = 62,839,586,544,959,025,577,984 - Step 5: Solve for x
x = 62,839,586,544,959,025,577,984/379,171,426,149.76 - Step 6: Final answer
x = 165,728,697,394.35
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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.