Finding the Fourth Proportional to 723,282,986,862.60, 1,084,924,480,293.90 and 220,201,379,233.80
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Solution
The fourth proportional to 723,282,986,862.60, 1,084,924,480,293.90 and 220,201,379,233.80 is: 330,302,068,850.70
Step by Step Solution
- Step 1: Write the proportion equation
723,282,986,862.60 : 1,084,924,480,293.90 = 220,201,379,233.80 : x - Step 2: Convert to fraction form
723,282,986,862.60/1,084,924,480,293.90 = 220,201,379,233.80/x - Step 3: Cross multiply
723,282,986,862.60x = 1,084,924,480,293.90 × 220,201,379,233.80 - Step 4: Simplify right side
723,282,986,862.60x = 238,901,866,925,230,424,850,432 - Step 5: Solve for x
x = 238,901,866,925,230,424,850,432/723,282,986,862.60 - Step 6: Final answer
x = 330,302,068,850.70
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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.