Finding the Fourth Proportional to 301,796,843,643.63, 416,480,939,029.36 and 164,622,659,232.81
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Solution
The fourth proportional to 301,796,843,643.63, 416,480,939,029.36 and 164,622,659,232.81 is: 227,179,976,023.05
Step by Step Solution
- Step 1: Write the proportion equation
301,796,843,643.63 : 416,480,939,029.36 = 164,622,659,232.81 : x - Step 2: Convert to fraction form
301,796,843,643.63/416,480,939,029.36 = 164,622,659,232.81/x - Step 3: Cross multiply
301,796,843,643.63x = 416,480,939,029.36 × 164,622,659,232.81 - Step 4: Simplify right side
301,796,843,643.63x = 68,562,199,702,791,046,299,648 - Step 5: Solve for x
x = 68,562,199,702,791,046,299,648/301,796,843,643.63 - Step 6: Final answer
x = 227,179,976,023.05
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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.