Finding the Fourth Proportional to 53,975,656,868,946, 80,937,962,889,076 and 20,909,640,337,506
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Solution
The fourth proportional to 53,975,656,868,946, 80,937,962,889,076 and 20,909,640,337,506 is: 31,354,573,373,143.55
Step by Step Solution
- Step 1: Write the proportion equation
53,975,656,868,946 : 80,937,962,889,076 = 20,909,640,337,506 : x - Step 2: Convert to fraction form
53,975,656,868,946/80,937,962,889,076 = 20,909,640,337,506/x - Step 3: Cross multiply
53,975,656,868,946x = 80,937,962,889,076 × 20,909,640,337,506 - Step 4: Simplify right side
53,975,656,868,946x = 1,692,383,693,660,987,150,471,004,160 - Step 5: Solve for x
x = 1,692,383,693,660,987,150,471,004,160/53,975,656,868,946 - Step 6: Final answer
x = 31,354,573,373,143.55
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.