Finding the Fourth Proportional to 359,445,319,129.14, 496,050,132,877.16 and 199,053,236,683.08
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Solution
The fourth proportional to 359,445,319,129.14, 496,050,132,877.16 and 199,053,236,683.08 is: 274,702,101,408.63
Step by Step Solution
- Step 1: Write the proportion equation
359,445,319,129.14 : 496,050,132,877.16 = 199,053,236,683.08 : x - Step 2: Convert to fraction form
359,445,319,129.14/496,050,132,877.16 = 199,053,236,683.08/x - Step 3: Cross multiply
359,445,319,129.14x = 496,050,132,877.16 × 199,053,236,683.08 - Step 4: Simplify right side
359,445,319,129.14x = 98,740,384,506,270,594,367,488 - Step 5: Solve for x
x = 98,740,384,506,270,594,367,488/359,445,319,129.14 - Step 6: Final answer
x = 274,702,101,408.63
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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.