Finding the Fourth Proportional to 22,755,432,819,380, 31,402,528,387,602 and 12,350,290,317,462
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Solution
The fourth proportional to 22,755,432,819,380, 31,402,528,387,602 and 12,350,290,317,462 is: 17,043,417,515,615.22
Step by Step Solution
- Step 1: Write the proportion equation
22,755,432,819,380 : 31,402,528,387,602 = 12,350,290,317,462 : x - Step 2: Convert to fraction form
22,755,432,819,380/31,402,528,387,602 = 12,350,290,317,462/x - Step 3: Cross multiply
22,755,432,819,380x = 31,402,528,387,602 × 12,350,290,317,462 - Step 4: Simplify right side
22,755,432,819,380x = 387,830,342,289,226,586,075,955,200 - Step 5: Solve for x
x = 387,830,342,289,226,586,075,955,200/22,755,432,819,380 - Step 6: Final answer
x = 17,043,417,515,615.22
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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.