Finding the Fourth Proportional to 2,829,239,755,731.80, 4,244,573,819,076.90 and 789,473,110,832.70
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Solution
The fourth proportional to 2,829,239,755,731.80, 4,244,573,819,076.90 and 789,473,110,832.70 is: 1,184,408,953,082.49
Step by Step Solution
- Step 1: Write the proportion equation
2,829,239,755,731.80 : 4,244,573,819,076.90 = 789,473,110,832.70 : x - Step 2: Convert to fraction form
2,829,239,755,731.80/4,244,573,819,076.90 = 789,473,110,832.70/x - Step 3: Cross multiply
2,829,239,755,731.80x = 4,244,573,819,076.90 × 789,473,110,832.70 - Step 4: Simplify right side
2,829,239,755,731.80x = 3,350,976,897,105,673,735,634,944 - Step 5: Solve for x
x = 3,350,976,897,105,673,735,634,944/2,829,239,755,731.80 - Step 6: Final answer
x = 1,184,408,953,082.49
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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.