Finding the Fourth Proportional to 412,509,925,998.12, 569,263,725,252.28 and 229,603,102,369.52
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Solution
The fourth proportional to 412,509,925,998.12, 569,263,725,252.28 and 229,603,102,369.52 is: 316,852,296,506.80
Step by Step Solution
- Step 1: Write the proportion equation
412,509,925,998.12 : 569,263,725,252.28 = 229,603,102,369.52 : x - Step 2: Convert to fraction form
412,509,925,998.12/569,263,725,252.28 = 229,603,102,369.52/x - Step 3: Cross multiply
412,509,925,998.12x = 569,263,725,252.28 × 229,603,102,369.52 - Step 4: Simplify right side
412,509,925,998.12x = 130,704,717,384,353,549,647,872 - Step 5: Solve for x
x = 130,704,717,384,353,549,647,872/412,509,925,998.12 - Step 6: Final answer
x = 316,852,296,506.80
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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.