Finding the Fourth Proportional to 14,426,244,465,633, 19,908,230,190,810 and 7,841,740,124,844.80
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Solution
The fourth proportional to 14,426,244,465,633, 19,908,230,190,810 and 7,841,740,124,844.80 is: 10,821,608,345,389.38
Step by Step Solution
- Step 1: Write the proportion equation
14,426,244,465,633 : 19,908,230,190,810 = 7,841,740,124,844.80 : x - Step 2: Convert to fraction form
14,426,244,465,633/19,908,230,190,810 = 7,841,740,124,844.80/x - Step 3: Cross multiply
14,426,244,465,633x = 19,908,230,190,810 × 7,841,740,124,844.80 - Step 4: Simplify right side
14,426,244,465,633x = 156,115,167,501,921,408,853,737,472 - Step 5: Solve for x
x = 156,115,167,501,921,408,853,737,472/14,426,244,465,633 - Step 6: Final answer
x = 10,821,608,345,389.38
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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.