Finding the Fourth Proportional to 1,462,089,243.84, 2,193,141,330.72 and 492,749,257.92
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Solution
The fourth proportional to 1,462,089,243.84, 2,193,141,330.72 and 492,749,257.92 is: 739,126,402.70
Step by Step Solution
- Step 1: Write the proportion equation
1,462,089,243.84 : 2,193,141,330.72 = 492,749,257.92 : x - Step 2: Convert to fraction form
1,462,089,243.84/2,193,141,330.72 = 492,749,257.92/x - Step 3: Cross multiply
1,462,089,243.84x = 2,193,141,330.72 × 492,749,257.92 - Step 4: Simplify right side
1,462,089,243.84x = 1,080,668,763,225,961,216 - Step 5: Solve for x
x = 1,080,668,763,225,961,216/1,462,089,243.84 - Step 6: Final answer
x = 739,126,402.70
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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.