Finding the Fourth Proportional to 54,178,116,496.26, 81,277,640,347.20 and 20,599,128,177.62
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Solution
The fourth proportional to 54,178,116,496.26, 81,277,640,347.20 and 20,599,128,177.62 is: 30,902,671,406.12
Step by Step Solution
- Step 1: Write the proportion equation
54,178,116,496.26 : 81,277,640,347.20 = 20,599,128,177.62 : x - Step 2: Convert to fraction form
54,178,116,496.26/81,277,640,347.20 = 20,599,128,177.62/x - Step 3: Cross multiply
54,178,116,496.26x = 81,277,640,347.20 × 20,599,128,177.62 - Step 4: Simplify right side
54,178,116,496.26x = 1,674,248,531,486,471,618,560 - Step 5: Solve for x
x = 1,674,248,531,486,471,618,560/54,178,116,496.26 - Step 6: Final answer
x = 30,902,671,406.12
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1.5x scale
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.