Finding the Fourth Proportional to 35,487,894,922,670, 48,973,257,850,850 and 19,880,290,793,930
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Solution
The fourth proportional to 35,487,894,922,670, 48,973,257,850,850 and 19,880,290,793,930 is: 27,434,780,488,460.78
Step by Step Solution
- Step 1: Write the proportion equation
35,487,894,922,670 : 48,973,257,850,850 = 19,880,290,793,930 : x - Step 2: Convert to fraction form
35,487,894,922,670/48,973,257,850,850 = 19,880,290,793,930/x - Step 3: Cross multiply
35,487,894,922,670x = 48,973,257,850,850 × 19,880,290,793,930 - Step 4: Simplify right side
35,487,894,922,670x = 973,602,607,201,013,315,619,782,656 - Step 5: Solve for x
x = 973,602,607,201,013,315,619,782,656/35,487,894,922,670 - Step 6: Final answer
x = 27,434,780,488,460.78
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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.