Finding the Fourth Proportional to 281,598,364,496.48, 422,583,636,222.32 and 132,580,947,452
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Solution
The fourth proportional to 281,598,364,496.48, 422,583,636,222.32 and 132,580,947,452 is: 198,959,035,036.47
Step by Step Solution
- Step 1: Write the proportion equation
281,598,364,496.48 : 422,583,636,222.32 = 132,580,947,452 : x - Step 2: Convert to fraction form
281,598,364,496.48/422,583,636,222.32 = 132,580,947,452/x - Step 3: Cross multiply
281,598,364,496.48x = 422,583,636,222.32 × 132,580,947,452 - Step 4: Simplify right side
281,598,364,496.48x = 56,026,538,868,066,496,806,912 - Step 5: Solve for x
x = 56,026,538,868,066,496,806,912/281,598,364,496.48 - Step 6: Final answer
x = 198,959,035,036.47
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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.