Finding the Fourth Proportional to 521,520,778,863.80, 782,281,168,295.70 and 149,290,999,407.80
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Solution
The fourth proportional to 521,520,778,863.80, 782,281,168,295.70 and 149,290,999,407.80 is: 223,936,499,111.70
Step by Step Solution
- Step 1: Write the proportion equation
521,520,778,863.80 : 782,281,168,295.70 = 149,290,999,407.80 : x - Step 2: Convert to fraction form
521,520,778,863.80/782,281,168,295.70 = 149,290,999,407.80/x - Step 3: Cross multiply
521,520,778,863.80x = 782,281,168,295.70 × 149,290,999,407.80 - Step 4: Simplify right side
521,520,778,863.80x = 116,787,537,432,766,419,304,448 - Step 5: Solve for x
x = 116,787,537,432,766,419,304,448/521,520,778,863.80 - Step 6: Final answer
x = 223,936,499,111.70
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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.