Finding the Fourth Proportional to 2,770,736,671,823.40, 4,153,195,687,776.80 and 932,237,073,727.70
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Solution
The fourth proportional to 2,770,736,671,823.40, 4,153,195,687,776.80 and 932,237,073,727.70 is: 1,397,376,746,034.68
Step by Step Solution
- Step 1: Write the proportion equation
2,770,736,671,823.40 : 4,153,195,687,776.80 = 932,237,073,727.70 : x - Step 2: Convert to fraction form
2,770,736,671,823.40/4,153,195,687,776.80 = 932,237,073,727.70/x - Step 3: Cross multiply
2,770,736,671,823.40x = 4,153,195,687,776.80 × 932,237,073,727.70 - Step 4: Simplify right side
2,770,736,671,823.40x = 3,871,762,994,591,545,849,544,704 - Step 5: Solve for x
x = 3,871,762,994,591,545,849,544,704/2,770,736,671,823.40 - Step 6: Final answer
x = 1,397,376,746,034.68
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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.