Finding the Fourth Proportional to 99,758,715,376, 137,665,930,491.84 and 54,031,853,266.96
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Solution
The fourth proportional to 99,758,715,376, 137,665,930,491.84 and 54,031,853,266.96 is: 74,563,363,493.19
Step by Step Solution
- Step 1: Write the proportion equation
99,758,715,376 : 137,665,930,491.84 = 54,031,853,266.96 : x - Step 2: Convert to fraction form
99,758,715,376/137,665,930,491.84 = 54,031,853,266.96/x - Step 3: Cross multiply
99,758,715,376x = 137,665,930,491.84 × 54,031,853,266.96 - Step 4: Simplify right side
99,758,715,376x = 7,438,345,356,194,613,297,152 - Step 5: Solve for x
x = 7,438,345,356,194,613,297,152/99,758,715,376 - Step 6: Final answer
x = 74,563,363,493.19
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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.