Finding the Fourth Proportional to 702,463,037,505.41, 1,052,950,878,739.80 and 236,285,314,582.48
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Solution
The fourth proportional to 702,463,037,505.41, 1,052,950,878,739.80 and 236,285,314,582.48 is: 354,177,823,371.98
Step by Step Solution
- Step 1: Write the proportion equation
702,463,037,505.41 : 1,052,950,878,739.80 = 236,285,314,582.48 : x - Step 2: Convert to fraction form
702,463,037,505.41/1,052,950,878,739.80 = 236,285,314,582.48/x - Step 3: Cross multiply
702,463,037,505.41x = 1,052,950,878,739.80 × 236,285,314,582.48 - Step 4: Simplify right side
702,463,037,505.41x = 248,796,829,622,932,414,136,320 - Step 5: Solve for x
x = 248,796,829,622,932,414,136,320/702,463,037,505.41 - Step 6: Final answer
x = 354,177,823,371.98
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.