Finding the Fourth Proportional to 408,898,599,638.58, 613,360,394,771.68 and 140,283,811,911.18
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Solution
The fourth proportional to 408,898,599,638.58, 613,360,394,771.68 and 140,283,811,911.18 is: 210,430,004,724.82
Step by Step Solution
- Step 1: Write the proportion equation
408,898,599,638.58 : 613,360,394,771.68 = 140,283,811,911.18 : x - Step 2: Convert to fraction form
408,898,599,638.58/613,360,394,771.68 = 140,283,811,911.18/x - Step 3: Cross multiply
408,898,599,638.58x = 613,360,394,771.68 × 140,283,811,911.18 - Step 4: Simplify right side
408,898,599,638.58x = 86,044,534,253,917,476,749,312 - Step 5: Solve for x
x = 86,044,534,253,917,476,749,312/408,898,599,638.58 - Step 6: Final answer
x = 210,430,004,724.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.