Finding the Fourth Proportional to 271,583,550,646.68, 374,768,413,034.38 and 149,641,461,072.92
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Solution
The fourth proportional to 271,583,550,646.68, 374,768,413,034.38 and 149,641,461,072.92 is: 206,495,911,688.71
Step by Step Solution
- Step 1: Write the proportion equation
271,583,550,646.68 : 374,768,413,034.38 = 149,641,461,072.92 : x - Step 2: Convert to fraction form
271,583,550,646.68/374,768,413,034.38 = 149,641,461,072.92/x - Step 3: Cross multiply
271,583,550,646.68x = 374,768,413,034.38 × 149,641,461,072.92 - Step 4: Simplify right side
271,583,550,646.68x = 56,080,892,890,444,181,012,480 - Step 5: Solve for x
x = 56,080,892,890,444,181,012,480/271,583,550,646.68 - Step 6: Final answer
x = 206,495,911,688.71
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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.