Finding the Fourth Proportional to 4,084,458,987.84, 5,636,703,749.79 and 2,276,133,357.66
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Solution
The fourth proportional to 4,084,458,987.84, 5,636,703,749.79 and 2,276,133,357.66 is: 3,141,147,816.72
Step by Step Solution
- Step 1: Write the proportion equation
4,084,458,987.84 : 5,636,703,749.79 = 2,276,133,357.66 : x - Step 2: Convert to fraction form
4,084,458,987.84/5,636,703,749.79 = 2,276,133,357.66/x - Step 3: Cross multiply
4,084,458,987.84x = 5,636,703,749.79 × 2,276,133,357.66 - Step 4: Simplify right side
4,084,458,987.84x = 12,829,889,432,144,224,256 - Step 5: Solve for x
x = 12,829,889,432,144,224,256/4,084,458,987.84 - Step 6: Final answer
x = 3,141,147,816.72
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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.