Finding the Fourth Proportional to 35,837,394,878,020, 49,455,078,607,326 and 20,016,971,588,500
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Solution
The fourth proportional to 35,837,394,878,020, 49,455,078,607,326 and 20,016,971,588,500 is: 27,623,126,813,747.14
Step by Step Solution
- Step 1: Write the proportion equation
35,837,394,878,020 : 49,455,078,607,326 = 20,016,971,588,500 : x - Step 2: Convert to fraction form
35,837,394,878,020/49,455,078,607,326 = 20,016,971,588,500/x - Step 3: Cross multiply
35,837,394,878,020x = 49,455,078,607,326 × 20,016,971,588,500 - Step 4: Simplify right side
35,837,394,878,020x = 989,940,903,389,878,680,450,760,704 - Step 5: Solve for x
x = 989,940,903,389,878,680,450,760,704/35,837,394,878,020 - Step 6: Final answer
x = 27,623,126,813,747.14
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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.