Finding the Fourth Proportional to 10,162,435,460.14, 14,024,539,416.23 and 6,093,999,546.31
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Solution
The fourth proportional to 10,162,435,460.14, 14,024,539,416.23 and 6,093,999,546.31 is: 8,409,946,333.72
Step by Step Solution
- Step 1: Write the proportion equation
10,162,435,460.14 : 14,024,539,416.23 = 6,093,999,546.31 : x - Step 2: Convert to fraction form
10,162,435,460.14/14,024,539,416.23 = 6,093,999,546.31/x - Step 3: Cross multiply
10,162,435,460.14x = 14,024,539,416.23 × 6,093,999,546.31 - Step 4: Simplify right side
10,162,435,460.14x = 85,465,536,839,681,867,776 - Step 5: Solve for x
x = 85,465,536,839,681,867,776/10,162,435,460.14 - Step 6: Final answer
x = 8,409,946,333.72
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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.