Finding the Fourth Proportional to 271,583,550,956.74, 374,768,413,461.98 and 149,641,461,382.72
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Solution
The fourth proportional to 271,583,550,956.74, 374,768,413,461.98 and 149,641,461,382.72 is: 206,495,912,116.07
Step by Step Solution
- Step 1: Write the proportion equation
271,583,550,956.74 : 374,768,413,461.98 = 149,641,461,382.72 : x - Step 2: Convert to fraction form
271,583,550,956.74/374,768,413,461.98 = 149,641,461,382.72/x - Step 3: Cross multiply
271,583,550,956.74x = 374,768,413,461.98 × 149,641,461,382.72 - Step 4: Simplify right side
271,583,550,956.74x = 56,080,893,070,534,122,668,032 - Step 5: Solve for x
x = 56,080,893,070,534,122,668,032/271,583,550,956.74 - Step 6: Final answer
x = 206,495,912,116.07
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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.