Finding the Fourth Proportional to 9,986,395,348.13, 13,776,000,744.68 and 6,174,699,849.36
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Solution
The fourth proportional to 9,986,395,348.13, 13,776,000,744.68 and 6,174,699,849.36 is: 8,517,855,217.79
Step by Step Solution
- Step 1: Write the proportion equation
9,986,395,348.13 : 13,776,000,744.68 = 6,174,699,849.36 : x - Step 2: Convert to fraction form
9,986,395,348.13/13,776,000,744.68 = 6,174,699,849.36/x - Step 3: Cross multiply
9,986,395,348.13x = 13,776,000,744.68 × 6,174,699,849.36 - Step 4: Simplify right side
9,986,395,348.13x = 85,062,669,722,952,663,040 - Step 5: Solve for x
x = 85,062,669,722,952,663,040/9,986,395,348.13 - Step 6: Final answer
x = 8,517,855,217.79
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.