Finding the Fourth Proportional to 105,920,854,431.06, 146,170,737,143.94 and 57,748,937,020.08
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Solution
The fourth proportional to 105,920,854,431.06, 146,170,737,143.94 and 57,748,937,020.08 is: 79,693,510,204.81
Step by Step Solution
- Step 1: Write the proportion equation
105,920,854,431.06 : 146,170,737,143.94 = 57,748,937,020.08 : x - Step 2: Convert to fraction form
105,920,854,431.06/146,170,737,143.94 = 57,748,937,020.08/x - Step 3: Cross multiply
105,920,854,431.06x = 146,170,737,143.94 × 57,748,937,020.08 - Step 4: Simplify right side
105,920,854,431.06x = 8,441,204,693,504,059,506,688 - Step 5: Solve for x
x = 8,441,204,693,504,059,506,688/105,920,854,431.06 - Step 6: Final answer
x = 79,693,510,204.81
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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.