Finding the Fourth Proportional to 70,361,198,354.87, 97,098,516,296.89 and 38,246,560,509.23
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Solution
The fourth proportional to 70,361,198,354.87, 97,098,516,296.89 and 38,246,560,509.23 is: 52,780,287,512.66
Step by Step Solution
- Step 1: Write the proportion equation
70,361,198,354.87 : 97,098,516,296.89 = 38,246,560,509.23 : x - Step 2: Convert to fraction form
70,361,198,354.87/97,098,516,296.89 = 38,246,560,509.23/x - Step 3: Cross multiply
70,361,198,354.87x = 97,098,516,296.89 × 38,246,560,509.23 - Step 4: Simplify right side
70,361,198,354.87x = 3,713,684,278,905,458,917,376 - Step 5: Solve for x
x = 3,713,684,278,905,458,917,376/70,361,198,354.87 - Step 6: Final answer
x = 52,780,287,512.66
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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.