Finding the Fourth Proportional to 4,214,416,537,171.40, 5,815,894,820,732.50 and 2,387,450,473,064
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Solution
The fourth proportional to 4,214,416,537,171.40, 5,815,894,820,732.50 and 2,387,450,473,064 is: 3,294,681,652,508.80
Step by Step Solution
- Step 1: Write the proportion equation
4,214,416,537,171.40 : 5,815,894,820,732.50 = 2,387,450,473,064 : x - Step 2: Convert to fraction form
4,214,416,537,171.40/5,815,894,820,732.50 = 2,387,450,473,064/x - Step 3: Cross multiply
4,214,416,537,171.40x = 5,815,894,820,732.50 × 2,387,450,473,064 - Step 4: Simplify right side
4,214,416,537,171.40x = 13,885,160,841,048,274,447,106,048 - Step 5: Solve for x
x = 13,885,160,841,048,274,447,106,048/4,214,416,537,171.40 - Step 6: Final answer
x = 3,294,681,652,508.80
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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.