Finding the Fourth Proportional to 430,278,327,400.18, 593,569,624,321.56 and 256,540,936,382.05
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Solution
The fourth proportional to 430,278,327,400.18, 593,569,624,321.56 and 256,540,936,382.05 is: 353,898,622,204.53
Step by Step Solution
- Step 1: Write the proportion equation
430,278,327,400.18 : 593,569,624,321.56 = 256,540,936,382.05 : x - Step 2: Convert to fraction form
430,278,327,400.18/593,569,624,321.56 = 256,540,936,382.05/x - Step 3: Cross multiply
430,278,327,400.18x = 593,569,624,321.56 × 256,540,936,382.05 - Step 4: Simplify right side
430,278,327,400.18x = 152,274,907,231,394,662,973,440 - Step 5: Solve for x
x = 152,274,907,231,394,662,973,440/430,278,327,400.18 - Step 6: Final answer
x = 353,898,622,204.53
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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.