Finding the Fourth Proportional to 16,384,262,334.80, 22,610,321,324.76 and 8,865,964,145.84
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Solution
The fourth proportional to 16,384,262,334.80, 22,610,321,324.76 and 8,865,964,145.84 is: 12,235,051,789.02
Step by Step Solution
- Step 1: Write the proportion equation
16,384,262,334.80 : 22,610,321,324.76 = 8,865,964,145.84 : x - Step 2: Convert to fraction form
16,384,262,334.80/22,610,321,324.76 = 8,865,964,145.84/x - Step 3: Cross multiply
16,384,262,334.80x = 22,610,321,324.76 × 8,865,964,145.84 - Step 4: Simplify right side
16,384,262,334.80x = 200,462,298,191,243,706,368 - Step 5: Solve for x
x = 200,462,298,191,243,706,368/16,384,262,334.80 - Step 6: Final answer
x = 12,235,051,789.02
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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.