Finding the Fourth Proportional to 2,022,842,385,107.40, 3,034,441,953,911.70 and 570,717,753,376.17
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Solution
The fourth proportional to 2,022,842,385,107.40, 3,034,441,953,911.70 and 570,717,753,376.17 is: 856,126,956,522.58
Step by Step Solution
- Step 1: Write the proportion equation
2,022,842,385,107.40 : 3,034,441,953,911.70 = 570,717,753,376.17 : x - Step 2: Convert to fraction form
2,022,842,385,107.40/3,034,441,953,911.70 = 570,717,753,376.17/x - Step 3: Cross multiply
2,022,842,385,107.40x = 3,034,441,953,911.70 × 570,717,753,376.17 - Step 4: Simplify right side
2,022,842,385,107.40x = 1,731,809,894,686,881,300,348,928 - Step 5: Solve for x
x = 1,731,809,894,686,881,300,348,928/2,022,842,385,107.40 - Step 6: Final answer
x = 856,126,956,522.58
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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.