Finding the Fourth Proportional to 282,845,346,126.04, 424,264,023,770.91 and 131,667,091,459.08
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Solution
The fourth proportional to 282,845,346,126.04, 424,264,023,770.91 and 131,667,091,459.08 is: 197,498,777,284.99
Step by Step Solution
- Step 1: Write the proportion equation
282,845,346,126.04 : 424,264,023,770.91 = 131,667,091,459.08 : x - Step 2: Convert to fraction form
282,845,346,126.04/424,264,023,770.91 = 131,667,091,459.08/x - Step 3: Cross multiply
282,845,346,126.04x = 424,264,023,770.91 × 131,667,091,459.08 - Step 4: Simplify right side
282,845,346,126.04x = 55,861,610,020,641,693,499,392 - Step 5: Solve for x
x = 55,861,610,020,641,693,499,392/282,845,346,126.04 - Step 6: Final answer
x = 197,498,777,284.99
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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.