Finding the Fourth Proportional to 525,366,166,233.46, 787,845,513,793.12 and 180,701,633,424.06
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Solution
The fourth proportional to 525,366,166,233.46, 787,845,513,793.12 and 180,701,633,424.06 is: 270,982,374,538.70
Step by Step Solution
- Step 1: Write the proportion equation
525,366,166,233.46 : 787,845,513,793.12 = 180,701,633,424.06 : x - Step 2: Convert to fraction form
525,366,166,233.46/787,845,513,793.12 = 180,701,633,424.06/x - Step 3: Cross multiply
525,366,166,233.46x = 787,845,513,793.12 × 180,701,633,424.06 - Step 4: Simplify right side
525,366,166,233.46x = 142,364,971,228,234,581,540,864 - Step 5: Solve for x
x = 142,364,971,228,234,581,540,864/525,366,166,233.46 - Step 6: Final answer
x = 270,982,374,538.70
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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.