Finding the Fourth Proportional to 277,213,478,752.23, 382,556,846,848.43 and 153,616,682,604.69
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Solution
The fourth proportional to 277,213,478,752.23, 382,556,846,848.43 and 153,616,682,604.69 is: 211,992,266,700.32
Step by Step Solution
- Step 1: Write the proportion equation
277,213,478,752.23 : 382,556,846,848.43 = 153,616,682,604.69 : x - Step 2: Convert to fraction form
277,213,478,752.23/382,556,846,848.43 = 153,616,682,604.69/x - Step 3: Cross multiply
277,213,478,752.23x = 382,556,846,848.43 × 153,616,682,604.69 - Step 4: Simplify right side
277,213,478,752.23x = 58,767,113,720,566,269,345,792 - Step 5: Solve for x
x = 58,767,113,720,566,269,345,792/277,213,478,752.23 - Step 6: Final answer
x = 211,992,266,700.32
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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.