Finding the Fourth Proportional to 701,932,921,938.90, 1,052,164,519,759.30 and 293,753,159,901.75
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Solution
The fourth proportional to 701,932,921,938.90, 1,052,164,519,759.30 and 293,753,159,901.75 is: 440,322,205,663.27
Step by Step Solution
- Step 1: Write the proportion equation
701,932,921,938.90 : 1,052,164,519,759.30 = 293,753,159,901.75 : x - Step 2: Convert to fraction form
701,932,921,938.90/1,052,164,519,759.30 = 293,753,159,901.75/x - Step 3: Cross multiply
701,932,921,938.90x = 1,052,164,519,759.30 × 293,753,159,901.75 - Step 4: Simplify right side
701,932,921,938.90x = 309,076,652,415,801,649,790,976 - Step 5: Solve for x
x = 309,076,652,415,801,649,790,976/701,932,921,938.90 - Step 6: Final answer
x = 440,322,205,663.27
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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.