Finding the Fourth Proportional to 102,857,127,232.68, 154,286,210,917.68 and 32,105,907,220.68
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Solution
The fourth proportional to 102,857,127,232.68, 154,286,210,917.68 and 32,105,907,220.68 is: 48,159,023,165.67
Step by Step Solution
- Step 1: Write the proportion equation
102,857,127,232.68 : 154,286,210,917.68 = 32,105,907,220.68 : x - Step 2: Convert to fraction form
102,857,127,232.68/154,286,210,917.68 = 32,105,907,220.68/x - Step 3: Cross multiply
102,857,127,232.68x = 154,286,210,917.68 × 32,105,907,220.68 - Step 4: Simplify right side
102,857,127,232.68x = 4,953,498,773,153,299,562,496 - Step 5: Solve for x
x = 4,953,498,773,153,299,562,496/102,857,127,232.68 - Step 6: Final answer
x = 48,159,023,165.67
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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.