Finding the Fourth Proportional to 4,177,794,077,854.80, 6,269,553,653,211 and 1,458,107,501,643.80
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Solution
The fourth proportional to 4,177,794,077,854.80, 6,269,553,653,211 and 1,458,107,501,643.80 is: 2,188,160,316,987.02
Step by Step Solution
- Step 1: Write the proportion equation
4,177,794,077,854.80 : 6,269,553,653,211 = 1,458,107,501,643.80 : x - Step 2: Convert to fraction form
4,177,794,077,854.80/6,269,553,653,211 = 1,458,107,501,643.80/x - Step 3: Cross multiply
4,177,794,077,854.80x = 6,269,553,653,211 × 1,458,107,501,643.80 - Step 4: Simplify right side
4,177,794,077,854.80x = 9,141,683,213,705,250,942,746,624 - Step 5: Solve for x
x = 9,141,683,213,705,250,942,746,624/4,177,794,077,854.80 - Step 6: Final answer
x = 2,188,160,316,987.02
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.