Finding the Fourth Proportional to 212,368,839,959.07, 293,069,116,727.96 and 114,710,480,451.99
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Solution
The fourth proportional to 212,368,839,959.07, 293,069,116,727.96 and 114,710,480,451.99 is: 158,300,526,536.68
Step by Step Solution
- Step 1: Write the proportion equation
212,368,839,959.07 : 293,069,116,727.96 = 114,710,480,451.99 : x - Step 2: Convert to fraction form
212,368,839,959.07/293,069,116,727.96 = 114,710,480,451.99/x - Step 3: Cross multiply
212,368,839,959.07x = 293,069,116,727.96 × 114,710,480,451.99 - Step 4: Simplify right side
212,368,839,959.07x = 33,618,099,185,504,636,370,944 - Step 5: Solve for x
x = 33,618,099,185,504,636,370,944/212,368,839,959.07 - Step 6: Final answer
x = 158,300,526,536.68
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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.