Finding the Fourth Proportional to 299,149,471,640.84, 448,751,792,550.16 and 97,692,262,591.26
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Solution
The fourth proportional to 299,149,471,640.84, 448,751,792,550.16 and 97,692,262,591.26 is: 146,547,402,258.97
Step by Step Solution
- Step 1: Write the proportion equation
299,149,471,640.84 : 448,751,792,550.16 = 97,692,262,591.26 : x - Step 2: Convert to fraction form
299,149,471,640.84/448,751,792,550.16 = 97,692,262,591.26/x - Step 3: Cross multiply
299,149,471,640.84x = 448,751,792,550.16 × 97,692,262,591.26 - Step 4: Simplify right side
299,149,471,640.84x = 43,839,577,956,108,860,391,424 - Step 5: Solve for x
x = 43,839,577,956,108,860,391,424/299,149,471,640.84 - Step 6: Final answer
x = 146,547,402,258.97
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.