Finding the Fourth Proportional to 296,412,577.90, 409,051,759.24 and 164,255,781.94
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Solution
The fourth proportional to 296,412,577.90, 409,051,759.24 and 164,255,781.94 is: 226,674,309.99
Step by Step Solution
- Step 1: Write the proportion equation
296,412,577.90 : 409,051,759.24 = 164,255,781.94 : x - Step 2: Convert to fraction form
296,412,577.90/409,051,759.24 = 164,255,781.94/x - Step 3: Cross multiply
296,412,577.90x = 409,051,759.24 × 164,255,781.94 - Step 4: Simplify right side
296,412,577.90x = 67,189,116,567,898,824 - Step 5: Solve for x
x = 67,189,116,567,898,824/296,412,577.90 - Step 6: Final answer
x = 226,674,309.99
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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.