Finding the Fourth Proportional to 299,216,640,756.66, 412,919,186,864.46 and 162,040,531,823.64
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Solution
The fourth proportional to 299,216,640,756.66, 412,919,186,864.46 and 162,040,531,823.64 is: 223,616,054,476.45
Step by Step Solution
- Step 1: Write the proportion equation
299,216,640,756.66 : 412,919,186,864.46 = 162,040,531,823.64 : x - Step 2: Convert to fraction form
299,216,640,756.66/412,919,186,864.46 = 162,040,531,823.64/x - Step 3: Cross multiply
299,216,640,756.66x = 412,919,186,864.46 × 162,040,531,823.64 - Step 4: Simplify right side
299,216,640,756.66x = 66,909,644,639,702,089,728,000 - Step 5: Solve for x
x = 66,909,644,639,702,089,728,000/299,216,640,756.66 - Step 6: Final answer
x = 223,616,054,476.45
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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.