Finding the Fourth Proportional to 146,252,586,239.46, 201,830,205,219.38 and 81,148,192,352.63
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Solution
The fourth proportional to 146,252,586,239.46, 201,830,205,219.38 and 81,148,192,352.63 is: 111,985,413,296.53
Step by Step Solution
- Step 1: Write the proportion equation
146,252,586,239.46 : 201,830,205,219.38 = 81,148,192,352.63 : x - Step 2: Convert to fraction form
146,252,586,239.46/201,830,205,219.38 = 81,148,192,352.63/x - Step 3: Cross multiply
146,252,586,239.46x = 201,830,205,219.38 × 81,148,192,352.63 - Step 4: Simplify right side
146,252,586,239.46x = 16,378,156,315,712,027,623,424 - Step 5: Solve for x
x = 16,378,156,315,712,027,623,424/146,252,586,239.46 - Step 6: Final answer
x = 111,985,413,296.53
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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.