Finding the Fourth Proportional to 282,030,565,115.08, 423,101,680,275.41 and 80,574,015,341.44
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Solution
The fourth proportional to 282,030,565,115.08, 423,101,680,275.41 and 80,574,015,341.44 is: 120,876,973,967.65
Step by Step Solution
- Step 1: Write the proportion equation
282,030,565,115.08 : 423,101,680,275.41 = 80,574,015,341.44 : x - Step 2: Convert to fraction form
282,030,565,115.08/423,101,680,275.41 = 80,574,015,341.44/x - Step 3: Cross multiply
282,030,565,115.08x = 423,101,680,275.41 × 80,574,015,341.44 - Step 4: Simplify right side
282,030,565,115.08x = 34,091,001,277,497,806,422,016 - Step 5: Solve for x
x = 34,091,001,277,497,806,422,016/282,030,565,115.08 - Step 6: Final answer
x = 120,876,973,967.65
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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.