Finding the Fourth Proportional to 268,779,296,241.99, 370,915,577,609.54 and 145,180,434,922.92
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Solution
The fourth proportional to 268,779,296,241.99, 370,915,577,609.54 and 145,180,434,922.92 is: 200,349,080,565.18
Step by Step Solution
- Step 1: Write the proportion equation
268,779,296,241.99 : 370,915,577,609.54 = 145,180,434,922.92 : x - Step 2: Convert to fraction form
268,779,296,241.99/370,915,577,609.54 = 145,180,434,922.92/x - Step 3: Cross multiply
268,779,296,241.99x = 370,915,577,609.54 × 145,180,434,922.92 - Step 4: Simplify right side
268,779,296,241.99x = 53,849,684,877,039,105,998,848 - Step 5: Solve for x
x = 53,849,684,877,039,105,998,848/268,779,296,241.99 - Step 6: Final answer
x = 200,349,080,565.18
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.