Finding the Fourth Proportional to 24,693,232,985,659, 37,044,069,307,316 and 10,180,304,411,143
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Solution
The fourth proportional to 24,693,232,985,659, 37,044,069,307,316 and 10,180,304,411,143 is: 15,272,196,329,859.87
Step by Step Solution
- Step 1: Write the proportion equation
24,693,232,985,659 : 37,044,069,307,316 = 10,180,304,411,143 : x - Step 2: Convert to fraction form
24,693,232,985,659/37,044,069,307,316 = 10,180,304,411,143/x - Step 3: Cross multiply
24,693,232,985,659x = 37,044,069,307,316 × 10,180,304,411,143 - Step 4: Simplify right side
24,693,232,985,659x = 377,119,902,175,956,098,317,549,568 - Step 5: Solve for x
x = 377,119,902,175,956,098,317,549,568/24,693,232,985,659 - Step 6: Final answer
x = 15,272,196,329,859.87
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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.