Finding the Fourth Proportional to 16,224,805,108,090, 22,390,768,013,748 and 8,917,199,873,330.80
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Solution
The fourth proportional to 16,224,805,108,090, 22,390,768,013,748 and 8,917,199,873,330.80 is: 12,306,030,942,486.78
Step by Step Solution
- Step 1: Write the proportion equation
16,224,805,108,090 : 22,390,768,013,748 = 8,917,199,873,330.80 : x - Step 2: Convert to fraction form
16,224,805,108,090/22,390,768,013,748 = 8,917,199,873,330.80/x - Step 3: Cross multiply
16,224,805,108,090x = 22,390,768,013,748 × 8,917,199,873,330.80 - Step 4: Simplify right side
16,224,805,108,090x = 199,662,953,695,973,027,744,841,728 - Step 5: Solve for x
x = 199,662,953,695,973,027,744,841,728/16,224,805,108,090 - Step 6: Final answer
x = 12,306,030,942,486.78
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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.