Finding the Fourth Proportional to 22,755,432,819,378, 31,402,528,387,600 and 12,350,290,317,460
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Solution
The fourth proportional to 22,755,432,819,378, 31,402,528,387,600 and 12,350,290,317,460 is: 17,043,417,515,612.87
Step by Step Solution
- Step 1: Write the proportion equation
22,755,432,819,378 : 31,402,528,387,600 = 12,350,290,317,460 : x - Step 2: Convert to fraction form
22,755,432,819,378/31,402,528,387,600 = 12,350,290,317,460/x - Step 3: Cross multiply
22,755,432,819,378x = 31,402,528,387,600 × 12,350,290,317,460 - Step 4: Simplify right side
22,755,432,819,378x = 387,830,342,289,139,037,462,593,536 - Step 5: Solve for x
x = 387,830,342,289,139,037,462,593,536/22,755,432,819,378 - Step 6: Final answer
x = 17,043,417,515,612.87
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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.