Finding the Fourth Proportional to 12,584,873,921,596, 17,366,941,184,604 and 7,029,279,460,529
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Solution
The fourth proportional to 12,584,873,921,596, 17,366,941,184,604 and 7,029,279,460,529 is: 9,700,302,420,325.75
Step by Step Solution
- Step 1: Write the proportion equation
12,584,873,921,596 : 17,366,941,184,604 = 7,029,279,460,529 : x - Step 2: Convert to fraction form
12,584,873,921,596/17,366,941,184,604 = 7,029,279,460,529/x - Step 3: Cross multiply
12,584,873,921,596x = 17,366,941,184,604 × 7,029,279,460,529 - Step 4: Simplify right side
12,584,873,921,596x = 122,077,082,961,152,081,112,596,480 - Step 5: Solve for x
x = 122,077,082,961,152,081,112,596,480/12,584,873,921,596 - Step 6: Final answer
x = 9,700,302,420,325.75
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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.