Finding the Fourth Proportional to 279,657,886,511.80, 419,486,829,767.70 and 279,657,886,511.80
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Solution
The fourth proportional to 279,657,886,511.80, 419,486,829,767.70 and 279,657,886,511.80 is: 419,486,829,767.70
Step by Step Solution
- Step 1: Write the proportion equation
279,657,886,511.80 : 419,486,829,767.70 = 279,657,886,511.80 : x - Step 2: Convert to fraction form
279,657,886,511.80/419,486,829,767.70 = 279,657,886,511.80/x - Step 3: Cross multiply
279,657,886,511.80x = 419,486,829,767.70 × 279,657,886,511.80 - Step 4: Simplify right side
279,657,886,511.80x = 117,312,800,232,370,207,719,424 - Step 5: Solve for x
x = 117,312,800,232,370,207,719,424/279,657,886,511.80 - Step 6: Final answer
x = 419,486,829,767.70
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1.5x scale
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.