Finding the Fourth Proportional to 159,753,475,188.53, 220,466,725,750.82 and 88,468,105,212.53
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Solution
The fourth proportional to 159,753,475,188.53, 220,466,725,750.82 and 88,468,105,212.53 is: 122,089,822,875.95
Step by Step Solution
- Step 1: Write the proportion equation
159,753,475,188.53 : 220,466,725,750.82 = 88,468,105,212.53 : x - Step 2: Convert to fraction form
159,753,475,188.53/220,466,725,750.82 = 88,468,105,212.53/x - Step 3: Cross multiply
159,753,475,188.53x = 220,466,725,750.82 × 88,468,105,212.53 - Step 4: Simplify right side
159,753,475,188.53x = 19,504,273,489,585,323,900,928 - Step 5: Solve for x
x = 19,504,273,489,585,323,900,928/159,753,475,188.53 - Step 6: Final answer
x = 122,089,822,875.95
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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.