Finding the Fourth Proportional to 56,384,950,506,630, 77,811,235,440,936 and 31,383,874,051,893
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Solution
The fourth proportional to 56,384,950,506,630, 77,811,235,440,936 and 31,383,874,051,893 is: 43,309,748,274,291.46
Step by Step Solution
- Step 1: Write the proportion equation
56,384,950,506,630 : 77,811,235,440,936 = 31,383,874,051,893 : x - Step 2: Convert to fraction form
56,384,950,506,630/77,811,235,440,936 = 31,383,874,051,893/x - Step 3: Cross multiply
56,384,950,506,630x = 77,811,235,440,936 × 31,383,874,051,893 - Step 4: Simplify right side
56,384,950,506,630x = 2,442,018,012,900,528,235,548,246,016 - Step 5: Solve for x
x = 2,442,018,012,900,528,235,548,246,016/56,384,950,506,630 - Step 6: Final answer
x = 43,309,748,274,291.46
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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.