Finding the Fourth Proportional to 11,916,215,465.44, 16,443,769,587.60 and 6,563,660,599.84
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Solution
The fourth proportional to 11,916,215,465.44, 16,443,769,587.60 and 6,563,660,599.84 is: 9,057,516,865.82
Step by Step Solution
- Step 1: Write the proportion equation
11,916,215,465.44 : 16,443,769,587.60 = 6,563,660,599.84 : x - Step 2: Convert to fraction form
11,916,215,465.44/16,443,769,587.60 = 6,563,660,599.84/x - Step 3: Cross multiply
11,916,215,465.44x = 16,443,769,587.60 × 6,563,660,599.84 - Step 4: Simplify right side
11,916,215,465.44x = 107,931,322,554,977,370,112 - Step 5: Solve for x
x = 107,931,322,554,977,370,112/11,916,215,465.44 - Step 6: Final answer
x = 9,057,516,865.82
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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.