Finding the Fourth Proportional to 159,753,475,226.18, 220,466,725,802.58 and 88,468,105,250.18
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Solution
The fourth proportional to 159,753,475,226.18, 220,466,725,802.58 and 88,468,105,250.18 is: 122,089,822,927.80
Step by Step Solution
- Step 1: Write the proportion equation
159,753,475,226.18 : 220,466,725,802.58 = 88,468,105,250.18 : x - Step 2: Convert to fraction form
159,753,475,226.18/220,466,725,802.58 = 88,468,105,250.18/x - Step 3: Cross multiply
159,753,475,226.18x = 220,466,725,802.58 × 88,468,105,250.18 - Step 4: Simplify right side
159,753,475,226.18x = 19,504,273,502,465,217,789,952 - Step 5: Solve for x
x = 19,504,273,502,465,217,789,952/159,753,475,226.18 - Step 6: Final answer
x = 122,089,822,927.80
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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.