Finding the Fourth Proportional to 421,415,758,486.09, 581,554,177,112.97 and 228,727,971,137.76
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Solution
The fourth proportional to 421,415,758,486.09, 581,554,177,112.97 and 228,727,971,137.76 is: 315,644,833,775.55
Step by Step Solution
- Step 1: Write the proportion equation
421,415,758,486.09 : 581,554,177,112.97 = 228,727,971,137.76 : x - Step 2: Convert to fraction form
421,415,758,486.09/581,554,177,112.97 = 228,727,971,137.76/x - Step 3: Cross multiply
421,415,758,486.09x = 581,554,177,112.97 × 228,727,971,137.76 - Step 4: Simplify right side
421,415,758,486.09x = 133,017,707,037,739,173,543,936 - Step 5: Solve for x
x = 133,017,707,037,739,173,543,936/421,415,758,486.09 - Step 6: Final answer
x = 315,644,833,775.55
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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.