Finding the Fourth Proportional to 302,144,136,807.07, 416,995,471,747.18 and 171,964,644,358.95
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Solution
The fourth proportional to 302,144,136,807.07, 416,995,471,747.18 and 171,964,644,358.95 is: 237,332,018,936.66
Step by Step Solution
- Step 1: Write the proportion equation
302,144,136,807.07 : 416,995,471,747.18 = 171,964,644,358.95 : x - Step 2: Convert to fraction form
302,144,136,807.07/416,995,471,747.18 = 171,964,644,358.95/x - Step 3: Cross multiply
302,144,136,807.07x = 416,995,471,747.18 × 171,964,644,358.95 - Step 4: Simplify right side
302,144,136,807.07x = 71,708,477,998,296,398,299,136 - Step 5: Solve for x
x = 71,708,477,998,296,398,299,136/302,144,136,807.07 - Step 6: Final answer
x = 237,332,018,936.66
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.