Finding the Fourth Proportional to 12,346,616,492,830, 18,522,034,653,658 and 5,090,152,205,572
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Solution
The fourth proportional to 12,346,616,492,830, 18,522,034,653,658 and 5,090,152,205,572 is: 7,636,098,164,930.38
Step by Step Solution
- Step 1: Write the proportion equation
12,346,616,492,830 : 18,522,034,653,658 = 5,090,152,205,572 : x - Step 2: Convert to fraction form
12,346,616,492,830/18,522,034,653,658 = 5,090,152,205,572/x - Step 3: Cross multiply
12,346,616,492,830x = 18,522,034,653,658 × 5,090,152,205,572 - Step 4: Simplify right side
12,346,616,492,830x = 94,279,975,543,998,284,528,877,568 - Step 5: Solve for x
x = 94,279,975,543,998,284,528,877,568/12,346,616,492,830 - Step 6: Final answer
x = 7,636,098,164,930.38
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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.