Finding the Fourth Proportional to 282,845,346,125.04, 424,264,023,769.41 and 131,667,091,458.08
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Solution
The fourth proportional to 282,845,346,125.04, 424,264,023,769.41 and 131,667,091,458.08 is: 197,498,777,283.49
Step by Step Solution
- Step 1: Write the proportion equation
282,845,346,125.04 : 424,264,023,769.41 = 131,667,091,458.08 : x - Step 2: Convert to fraction form
282,845,346,125.04/424,264,023,769.41 = 131,667,091,458.08/x - Step 3: Cross multiply
282,845,346,125.04x = 424,264,023,769.41 × 131,667,091,458.08 - Step 4: Simplify right side
282,845,346,125.04x = 55,861,610,020,019,929,874,432 - Step 5: Solve for x
x = 55,861,610,020,019,929,874,432/282,845,346,125.04 - Step 6: Final answer
x = 197,498,777,283.49
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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.