Finding the Fourth Proportional to 16,955,113,104,013, 25,432,669,656,020 and 16,955,113,104,013
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Solution
The fourth proportional to 16,955,113,104,013, 25,432,669,656,020 and 16,955,113,104,013 is: 25,432,669,656,020
Step by Step Solution
- Step 1: Write the proportion equation
16,955,113,104,013 : 25,432,669,656,020 = 16,955,113,104,013 : x - Step 2: Convert to fraction form
16,955,113,104,013/25,432,669,656,020 = 16,955,113,104,013/x - Step 3: Cross multiply
16,955,113,104,013x = 25,432,669,656,020 × 16,955,113,104,013 - Step 4: Simplify right side
16,955,113,104,013x = 431,213,790,554,818,468,592,484,352 - Step 5: Solve for x
x = 431,213,790,554,818,468,592,484,352/16,955,113,104,013 - Step 6: Final answer
x = 25,432,669,656,020
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.