Finding the Fourth Proportional to 822,184,164,855.06, 1,233,271,272,994.80 and 447,258,704,070.66
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Solution
The fourth proportional to 822,184,164,855.06, 1,233,271,272,994.80 and 447,258,704,070.66 is: 670,885,350,150.80
Step by Step Solution
- Step 1: Write the proportion equation
822,184,164,855.06 : 1,233,271,272,994.80 = 447,258,704,070.66 : x - Step 2: Convert to fraction form
822,184,164,855.06/1,233,271,272,994.80 = 447,258,704,070.66/x - Step 3: Cross multiply
822,184,164,855.06x = 1,233,271,272,994.80 × 447,258,704,070.66 - Step 4: Simplify right side
822,184,164,855.06x = 551,591,311,327,227,394,654,208 - Step 5: Solve for x
x = 551,591,311,327,227,394,654,208/822,184,164,855.06 - Step 6: Final answer
x = 670,885,350,150.80
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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.