Finding the Fourth Proportional to 15,580,260,115,498, 21,491,826,056,116 and 9,717,188,354,150.40
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Solution
The fourth proportional to 15,580,260,115,498, 21,491,826,056,116 and 9,717,188,354,150.40 is: 13,404,148,603,024.86
Step by Step Solution
- Step 1: Write the proportion equation
15,580,260,115,498 : 21,491,826,056,116 = 9,717,188,354,150.40 : x - Step 2: Convert to fraction form
15,580,260,115,498/21,491,826,056,116 = 9,717,188,354,150.40/x - Step 3: Cross multiply
15,580,260,115,498x = 21,491,826,056,116 × 9,717,188,354,150.40 - Step 4: Simplify right side
15,580,260,115,498x = 208,840,121,861,916,513,357,791,232 - Step 5: Solve for x
x = 208,840,121,861,916,513,357,791,232/15,580,260,115,498 - Step 6: Final answer
x = 13,404,148,603,024.86
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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.