Finding the Fourth Proportional to 68,194,535,813.84, 102,290,678,338.99 and 20,387,657,143.74
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Solution
The fourth proportional to 68,194,535,813.84, 102,290,678,338.99 and 20,387,657,143.74 is: 30,581,149,267.87
Step by Step Solution
- Step 1: Write the proportion equation
68,194,535,813.84 : 102,290,678,338.99 = 20,387,657,143.74 : x - Step 2: Convert to fraction form
68,194,535,813.84/102,290,678,338.99 = 20,387,657,143.74/x - Step 3: Cross multiply
68,194,535,813.84x = 102,290,678,338.99 × 20,387,657,143.74 - Step 4: Simplify right side
68,194,535,813.84x = 2,085,467,278,975,920,242,688 - Step 5: Solve for x
x = 2,085,467,278,975,920,242,688/68,194,535,813.84 - Step 6: Final answer
x = 30,581,149,267.87
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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.