Finding the Fourth Proportional to 48,849,290,229.84, 73,278,156,220.80 and 13,476,645,646.53
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Solution
The fourth proportional to 48,849,290,229.84, 73,278,156,220.80 and 13,476,645,646.53 is: 20,216,132,934.02
Step by Step Solution
- Step 1: Write the proportion equation
48,849,290,229.84 : 73,278,156,220.80 = 13,476,645,646.53 : x - Step 2: Convert to fraction form
48,849,290,229.84/73,278,156,220.80 = 13,476,645,646.53/x - Step 3: Cross multiply
48,849,290,229.84x = 73,278,156,220.80 × 13,476,645,646.53 - Step 4: Simplify right side
48,849,290,229.84x = 987,543,745,018,789,625,856 - Step 5: Solve for x
x = 987,543,745,018,789,625,856/48,849,290,229.84 - Step 6: Final answer
x = 20,216,132,934.02
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1.5x scale
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.