Finding the Fourth Proportional to 148,055,920,028.68, 204,317,169,639.55 and 84,691,146,716.67
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Solution
The fourth proportional to 148,055,920,028.68, 204,317,169,639.55 and 84,691,146,716.67 is: 116,873,782,468.99
Step by Step Solution
- Step 1: Write the proportion equation
148,055,920,028.68 : 204,317,169,639.55 = 84,691,146,716.67 : x - Step 2: Convert to fraction form
148,055,920,028.68/204,317,169,639.55 = 84,691,146,716.67/x - Step 3: Cross multiply
148,055,920,028.68x = 204,317,169,639.55 × 84,691,146,716.67 - Step 4: Simplify right side
148,055,920,028.68x = 17,303,855,390,677,880,799,232 - Step 5: Solve for x
x = 17,303,855,390,677,880,799,232/148,055,920,028.68 - Step 6: Final answer
x = 116,873,782,468.99
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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.