Finding the Fourth Proportional to 4,350,781,702,914, 6,004,097,416,206 and 2,373,243,027,305
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Solution
The fourth proportional to 4,350,781,702,914, 6,004,097,416,206 and 2,373,243,027,305 is: 3,275,085,559,619.61
Step by Step Solution
- Step 1: Write the proportion equation
4,350,781,702,914 : 6,004,097,416,206 = 2,373,243,027,305 : x - Step 2: Convert to fraction form
4,350,781,702,914/6,004,097,416,206 = 2,373,243,027,305/x - Step 3: Cross multiply
4,350,781,702,914x = 6,004,097,416,206 × 2,373,243,027,305 - Step 4: Simplify right side
4,350,781,702,914x = 14,249,182,328,270,855,820,279,808 - Step 5: Solve for x
x = 14,249,182,328,270,855,820,279,808/4,350,781,702,914 - Step 6: Final answer
x = 3,275,085,559,619.61
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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.