Finding the Fourth Proportional to 409,233,533.36, 613,841,437.08 and 114,120,778.94
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Solution
The fourth proportional to 409,233,533.36, 613,841,437.08 and 114,120,778.94 is: 171,178,696.84
Step by Step Solution
- Step 1: Write the proportion equation
409,233,533.36 : 613,841,437.08 = 114,120,778.94 : x - Step 2: Convert to fraction form
409,233,533.36/613,841,437.08 = 114,120,778.94/x - Step 3: Cross multiply
409,233,533.36x = 613,841,437.08 × 114,120,778.94 - Step 4: Simplify right side
409,233,533.36x = 70,052,062,945,218,600 - Step 5: Solve for x
x = 70,052,062,945,218,600/409,233,533.36 - Step 6: Final answer
x = 171,178,696.84
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.