Finding the Fourth Proportional to 7,457,703,064,652, 10,291,520,701,988 and 4,165,498,939,575
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Solution
The fourth proportional to 7,457,703,064,652, 10,291,520,701,988 and 4,165,498,939,575 is: 5,748,327,360,194.46
Step by Step Solution
- Step 1: Write the proportion equation
7,457,703,064,652 : 10,291,520,701,988 = 4,165,498,939,575 : x - Step 2: Convert to fraction form
7,457,703,064,652/10,291,520,701,988 = 4,165,498,939,575/x - Step 3: Cross multiply
7,457,703,064,652x = 10,291,520,701,988 × 4,165,498,939,575 - Step 4: Simplify right side
7,457,703,064,652x = 42,869,318,570,745,177,105,760,256 - Step 5: Solve for x
x = 42,869,318,570,745,177,105,760,256/7,457,703,064,652 - Step 6: Final answer
x = 5,748,327,360,194.46
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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.