Finding the Fourth Proportional to 11,727,523,206.09, 16,183,867,047.71 and 6,374,765,087.82
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Solution
The fourth proportional to 11,727,523,206.09, 16,183,867,047.71 and 6,374,765,087.82 is: 8,797,113,322.96
Step by Step Solution
- Step 1: Write the proportion equation
11,727,523,206.09 : 16,183,867,047.71 = 6,374,765,087.82 : x - Step 2: Convert to fraction form
11,727,523,206.09/16,183,867,047.71 = 6,374,765,087.82/x - Step 3: Cross multiply
11,727,523,206.09x = 16,183,867,047.71 × 6,374,765,087.82 - Step 4: Simplify right side
11,727,523,206.09x = 103,168,350,641,630,363,648 - Step 5: Solve for x
x = 103,168,350,641,630,363,648/11,727,523,206.09 - Step 6: Final answer
x = 8,797,113,322.96
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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.