Finding the Fourth Proportional to 26,516,277,537,984, 36,592,073,572,190 and 14,810,662,870,975
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Solution
The fourth proportional to 26,516,277,537,984, 36,592,073,572,190 and 14,810,662,870,975 is: 20,438,497,245,749.68
Step by Step Solution
- Step 1: Write the proportion equation
26,516,277,537,984 : 36,592,073,572,190 = 14,810,662,870,975 : x - Step 2: Convert to fraction form
26,516,277,537,984/36,592,073,572,190 = 14,810,662,870,975/x - Step 3: Cross multiply
26,516,277,537,984x = 36,592,073,572,190 × 14,810,662,870,975 - Step 4: Simplify right side
26,516,277,537,984x = 541,952,865,427,619,958,933,684,224 - Step 5: Solve for x
x = 541,952,865,427,619,958,933,684,224/26,516,277,537,984 - Step 6: Final answer
x = 20,438,497,245,749.68
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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.