Finding the Fourth Proportional to 1,607,832,440,632.60, 2,412,460,863,841.80 and 842,738,763,344.94
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Solution
The fourth proportional to 1,607,832,440,632.60, 2,412,460,863,841.80 and 842,738,763,344.94 is: 1,264,481,443,235.59
Step by Step Solution
- Step 1: Write the proportion equation
1,607,832,440,632.60 : 2,412,460,863,841.80 = 842,738,763,344.94 : x - Step 2: Convert to fraction form
1,607,832,440,632.60/2,412,460,863,841.80 = 842,738,763,344.94/x - Step 3: Cross multiply
1,607,832,440,632.60x = 2,412,460,863,841.80 × 842,738,763,344.94 - Step 4: Simplify right side
1,607,832,440,632.60x = 2,033,074,285,012,103,880,245,248 - Step 5: Solve for x
x = 2,033,074,285,012,103,880,245,248/1,607,832,440,632.60 - Step 6: Final answer
x = 1,264,481,443,235.59
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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.