Finding the Fourth Proportional to 2,022,842,385,098.10, 3,034,441,953,897.90 and 570,717,753,366.75
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Solution
The fourth proportional to 2,022,842,385,098.10, 3,034,441,953,897.90 and 570,717,753,366.75 is: 856,126,956,508.50
Step by Step Solution
- Step 1: Write the proportion equation
2,022,842,385,098.10 : 3,034,441,953,897.90 = 570,717,753,366.75 : x - Step 2: Convert to fraction form
2,022,842,385,098.10/3,034,441,953,897.90 = 570,717,753,366.75/x - Step 3: Cross multiply
2,022,842,385,098.10x = 3,034,441,953,897.90 × 570,717,753,366.75 - Step 4: Simplify right side
2,022,842,385,098.10x = 1,731,809,894,650,420,517,666,816 - Step 5: Solve for x
x = 1,731,809,894,650,420,517,666,816/2,022,842,385,098.10 - Step 6: Final answer
x = 856,126,956,508.50
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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.