Finding the Fourth Proportional to 12,584,873,921,592, 17,366,941,184,598 and 7,029,279,460,525
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Solution
The fourth proportional to 12,584,873,921,592, 17,366,941,184,598 and 7,029,279,460,525 is: 9,700,302,420,319.96
Step by Step Solution
- Step 1: Write the proportion equation
12,584,873,921,592 : 17,366,941,184,598 = 7,029,279,460,525 : x - Step 2: Convert to fraction form
12,584,873,921,592/17,366,941,184,598 = 7,029,279,460,525/x - Step 3: Cross multiply
12,584,873,921,592x = 17,366,941,184,598 × 7,029,279,460,525 - Step 4: Simplify right side
12,584,873,921,592x = 122,077,082,961,040,429,142,769,664 - Step 5: Solve for x
x = 122,077,082,961,040,429,142,769,664/12,584,873,921,592 - Step 6: Final answer
x = 9,700,302,420,319.96
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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.