Finding the Fourth Proportional to 2,022,842,385,101.10, 3,034,441,953,902.70 and 570,717,753,369.75
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Solution
The fourth proportional to 2,022,842,385,101.10, 3,034,441,953,902.70 and 570,717,753,369.75 is: 856,126,956,513.08
Step by Step Solution
- Step 1: Write the proportion equation
2,022,842,385,101.10 : 3,034,441,953,902.70 = 570,717,753,369.75 : x - Step 2: Convert to fraction form
2,022,842,385,101.10/3,034,441,953,902.70 = 570,717,753,369.75/x - Step 3: Cross multiply
2,022,842,385,101.10x = 3,034,441,953,902.70 × 570,717,753,369.75 - Step 4: Simplify right side
2,022,842,385,101.10x = 1,731,809,894,662,263,621,550,080 - Step 5: Solve for x
x = 1,731,809,894,662,263,621,550,080/2,022,842,385,101.10 - Step 6: Final answer
x = 856,126,956,513.08
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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.