Finding the Fourth Proportional to 16,380,182,519,550, 22,596,081,849,192 and 10,128,048,982,499
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Solution
The fourth proportional to 16,380,182,519,550, 22,596,081,849,192 and 10,128,048,982,499 is: 13,971,408,652,378.09
Step by Step Solution
- Step 1: Write the proportion equation
16,380,182,519,550 : 22,596,081,849,192 = 10,128,048,982,499 : x - Step 2: Convert to fraction form
16,380,182,519,550/22,596,081,849,192 = 10,128,048,982,499/x - Step 3: Cross multiply
16,380,182,519,550x = 22,596,081,849,192 × 10,128,048,982,499 - Step 4: Simplify right side
16,380,182,519,550x = 228,854,223,781,173,157,789,958,144 - Step 5: Solve for x
x = 228,854,223,781,173,157,789,958,144/16,380,182,519,550 - Step 6: Final answer
x = 13,971,408,652,378.09
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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.