Finding the Fourth Proportional to 9,472,297,832,383.80, 14,183,976,577,624 and 6,537,455,380,610.70
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Solution
The fourth proportional to 9,472,297,832,383.80, 14,183,976,577,624 and 6,537,455,380,610.70 is: 9,789,294,597,434.39
Step by Step Solution
- Step 1: Write the proportion equation
9,472,297,832,383.80 : 14,183,976,577,624 = 6,537,455,380,610.70 : x - Step 2: Convert to fraction form
9,472,297,832,383.80/14,183,976,577,624 = 6,537,455,380,610.70/x - Step 3: Cross multiply
9,472,297,832,383.80x = 14,183,976,577,624 × 6,537,455,380,610.70 - Step 4: Simplify right side
9,472,297,832,383.80x = 92,727,113,995,844,165,503,549,440 - Step 5: Solve for x
x = 92,727,113,995,844,165,503,549,440/9,472,297,832,383.80 - Step 6: Final answer
x = 9,789,294,597,434.39
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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.