Finding the Fourth Proportional to 1,646,266,881.42, 2,469,885,424.20 and 663,187,549.14
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Solution
The fourth proportional to 1,646,266,881.42, 2,469,885,424.20 and 663,187,549.14 is: 994,976,743.82
Step by Step Solution
- Step 1: Write the proportion equation
1,646,266,881.42 : 2,469,885,424.20 = 663,187,549.14 : x - Step 2: Convert to fraction form
1,646,266,881.42/2,469,885,424.20 = 663,187,549.14/x - Step 3: Cross multiply
1,646,266,881.42x = 2,469,885,424.20 × 663,187,549.14 - Step 4: Simplify right side
1,646,266,881.42x = 1,637,997,261,131,806,976 - Step 5: Solve for x
x = 1,637,997,261,131,806,976/1,646,266,881.42 - Step 6: Final answer
x = 994,976,743.82
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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.