Finding the Fourth Proportional to 14,426,244,465,650, 19,908,230,190,831 and 7,841,740,124,862
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Solution
The fourth proportional to 14,426,244,465,650, 19,908,230,190,831 and 7,841,740,124,862 is: 10,821,608,345,411.78
Step by Step Solution
- Step 1: Write the proportion equation
14,426,244,465,650 : 19,908,230,190,831 = 7,841,740,124,862 : x - Step 2: Convert to fraction form
14,426,244,465,650/19,908,230,190,831 = 7,841,740,124,862/x - Step 3: Cross multiply
14,426,244,465,650x = 19,908,230,190,831 × 7,841,740,124,862 - Step 4: Simplify right side
14,426,244,465,650x = 156,115,167,502,428,524,232,310,784 - Step 5: Solve for x
x = 156,115,167,502,428,524,232,310,784/14,426,244,465,650 - Step 6: Final answer
x = 10,821,608,345,411.78
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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.