Finding the Fourth Proportional to 852,066,137,166.38, 1,175,851,903,235.70 and 461,435,733,212.67
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Solution
The fourth proportional to 852,066,137,166.38, 1,175,851,903,235.70 and 461,435,733,212.67 is: 636,781,655,146.48
Step by Step Solution
- Step 1: Write the proportion equation
852,066,137,166.38 : 1,175,851,903,235.70 = 461,435,733,212.67 : x - Step 2: Convert to fraction form
852,066,137,166.38/1,175,851,903,235.70 = 461,435,733,212.67/x - Step 3: Cross multiply
852,066,137,166.38x = 1,175,851,903,235.70 × 461,435,733,212.67 - Step 4: Simplify right side
852,066,137,166.38x = 542,580,085,119,078,652,444,672 - Step 5: Solve for x
x = 542,580,085,119,078,652,444,672/852,066,137,166.38 - Step 6: Final answer
x = 636,781,655,146.48
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.