Finding the Fourth Proportional to 159,753,475,170.84, 220,466,725,726.40 and 88,468,105,194.84
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Solution
The fourth proportional to 159,753,475,170.84, 220,466,725,726.40 and 88,468,105,194.84 is: 122,089,822,851.54
Step by Step Solution
- Step 1: Write the proportion equation
159,753,475,170.84 : 220,466,725,726.40 = 88,468,105,194.84 : x - Step 2: Convert to fraction form
159,753,475,170.84/220,466,725,726.40 = 88,468,105,194.84/x - Step 3: Cross multiply
159,753,475,170.84x = 220,466,725,726.40 × 88,468,105,194.84 - Step 4: Simplify right side
159,753,475,170.84x = 19,504,273,483,525,091,491,840 - Step 5: Solve for x
x = 19,504,273,483,525,091,491,840/159,753,475,170.84 - Step 6: Final answer
x = 122,089,822,851.54
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1.5x scale
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.