Finding the Fourth Proportional to 8,361,661,555,012.80, 11,537,561,138,764 and 4,657,785,689,531.20
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Solution
The fourth proportional to 8,361,661,555,012.80, 11,537,561,138,764 and 4,657,785,689,531.20 is: 6,426,890,972,645.21
Step by Step Solution
- Step 1: Write the proportion equation
8,361,661,555,012.80 : 11,537,561,138,764 = 4,657,785,689,531.20 : x - Step 2: Convert to fraction form
8,361,661,555,012.80/11,537,561,138,764 = 4,657,785,689,531.20/x - Step 3: Cross multiply
8,361,661,555,012.80x = 11,537,561,138,764 × 4,657,785,689,531.20 - Step 4: Simplify right side
8,361,661,555,012.80x = 53,739,487,164,226,254,661,484,544 - Step 5: Solve for x
x = 53,739,487,164,226,254,661,484,544/8,361,661,555,012.80 - Step 6: Final answer
x = 6,426,890,972,645.21
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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.