Finding the Fourth Proportional to 210,141,478,907.42, 289,995,520,549.99 and 113,797,731,524.76
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Solution
The fourth proportional to 210,141,478,907.42, 289,995,520,549.99 and 113,797,731,524.76 is: 157,041,020,946.99
Step by Step Solution
- Step 1: Write the proportion equation
210,141,478,907.42 : 289,995,520,549.99 = 113,797,731,524.76 : x - Step 2: Convert to fraction form
210,141,478,907.42/289,995,520,549.99 = 113,797,731,524.76/x - Step 3: Cross multiply
210,141,478,907.42x = 289,995,520,549.99 × 113,797,731,524.76 - Step 4: Simplify right side
210,141,478,907.42x = 33,000,832,390,930,779,602,944 - Step 5: Solve for x
x = 33,000,832,390,930,779,602,944/210,141,478,907.42 - Step 6: Final answer
x = 157,041,020,946.99
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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.