Finding the Fourth Proportional to 9,464,127,278.92, 12,992,104,284.64 and 8,123,690,252.08
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Solution
The fourth proportional to 9,464,127,278.92, 12,992,104,284.64 and 8,123,690,252.08 is: 11,151,987,692.12
Step by Step Solution
- Step 1: Write the proportion equation
9,464,127,278.92 : 12,992,104,284.64 = 8,123,690,252.08 : x - Step 2: Convert to fraction form
9,464,127,278.92/12,992,104,284.64 = 8,123,690,252.08/x - Step 3: Cross multiply
9,464,127,278.92x = 12,992,104,284.64 × 8,123,690,252.08 - Step 4: Simplify right side
9,464,127,278.92x = 105,543,830,931,136,757,760 - Step 5: Solve for x
x = 105,543,830,931,136,757,760/9,464,127,278.92 - Step 6: Final answer
x = 11,151,987,692.12
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.