Finding the Fourth Proportional to 20,117,493,038.36, 27,762,732,586.59 and 11,085,832,931.18
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Solution
The fourth proportional to 20,117,493,038.36, 27,762,732,586.59 and 11,085,832,931.18 is: 15,298,775,775.95
Step by Step Solution
- Step 1: Write the proportion equation
20,117,493,038.36 : 27,762,732,586.59 = 11,085,832,931.18 : x - Step 2: Convert to fraction form
20,117,493,038.36/27,762,732,586.59 = 11,085,832,931.18/x - Step 3: Cross multiply
20,117,493,038.36x = 27,762,732,586.59 × 11,085,832,931.18 - Step 4: Simplify right side
20,117,493,038.36x = 307,773,015,168,046,858,240 - Step 5: Solve for x
x = 307,773,015,168,046,858,240/20,117,493,038.36 - Step 6: Final answer
x = 15,298,775,775.95
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1.5x scale
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.