Finding the Fourth Proportional to 35,487,894,922,460, 48,973,257,850,548 and 19,880,290,793,723
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Solution
The fourth proportional to 35,487,894,922,460, 48,973,257,850,548 and 19,880,290,793,723 is: 27,434,780,488,168.29
Step by Step Solution
- Step 1: Write the proportion equation
35,487,894,922,460 : 48,973,257,850,548 = 19,880,290,793,723 : x - Step 2: Convert to fraction form
35,487,894,922,460/48,973,257,850,548 = 19,880,290,793,723/x - Step 3: Cross multiply
35,487,894,922,460x = 48,973,257,850,548 × 19,880,290,793,723 - Step 4: Simplify right side
35,487,894,922,460x = 973,602,607,184,872,072,607,170,560 - Step 5: Solve for x
x = 973,602,607,184,872,072,607,170,560/35,487,894,922,460 - Step 6: Final answer
x = 27,434,780,488,168.29
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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.