Finding the Fourth Proportional to 302,144,136,809.74, 416,995,471,750.91 and 171,964,644,361.65
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Solution
The fourth proportional to 302,144,136,809.74, 416,995,471,750.91 and 171,964,644,361.65 is: 237,332,018,940.41
Step by Step Solution
- Step 1: Write the proportion equation
302,144,136,809.74 : 416,995,471,750.91 = 171,964,644,361.65 : x - Step 2: Convert to fraction form
302,144,136,809.74/416,995,471,750.91 = 171,964,644,361.65/x - Step 3: Cross multiply
302,144,136,809.74x = 416,995,471,750.91 × 171,964,644,361.65 - Step 4: Simplify right side
302,144,136,809.74x = 71,708,478,000,063,701,843,968 - Step 5: Solve for x
x = 71,708,478,000,063,701,843,968/302,144,136,809.74 - Step 6: Final answer
x = 237,332,018,940.41
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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.