Finding the Fourth Proportional to 273,559,722,680.70, 409,762,316,282.27 and 219,484,088,981.05
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Solution
The fourth proportional to 273,559,722,680.70, 409,762,316,282.27 and 219,484,088,981.05 is: 328,762,976,532.74
Step by Step Solution
- Step 1: Write the proportion equation
273,559,722,680.70 : 409,762,316,282.27 = 219,484,088,981.05 : x - Step 2: Convert to fraction form
273,559,722,680.70/409,762,316,282.27 = 219,484,088,981.05/x - Step 3: Cross multiply
273,559,722,680.70x = 409,762,316,282.27 × 219,484,088,981.05 - Step 4: Simplify right side
273,559,722,680.70x = 89,936,308,687,978,899,701,760 - Step 5: Solve for x
x = 89,936,308,687,978,899,701,760/273,559,722,680.70 - Step 6: Final answer
x = 328,762,976,532.74
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.