Finding the Fourth Proportional to 347,408,029,424.84, 520,813,589,861.46 and 120,738,032,224.07
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Solution
The fourth proportional to 347,408,029,424.84, 520,813,589,861.46 and 120,738,032,224.07 is: 181,003,323,669.67
Step by Step Solution
- Step 1: Write the proportion equation
347,408,029,424.84 : 520,813,589,861.46 = 120,738,032,224.07 : x - Step 2: Convert to fraction form
347,408,029,424.84/520,813,589,861.46 = 120,738,032,224.07/x - Step 3: Cross multiply
347,408,029,424.84x = 520,813,589,861.46 × 120,738,032,224.07 - Step 4: Simplify right side
347,408,029,424.84x = 62,882,007,995,426,539,569,152 - Step 5: Solve for x
x = 62,882,007,995,426,539,569,152/347,408,029,424.84 - Step 6: Final answer
x = 181,003,323,669.67
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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.