Finding the Fourth Proportional to 4,685,246,072.60, 6,465,758,557.68 and 2,570,701,456.40
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Solution
The fourth proportional to 4,685,246,072.60, 6,465,758,557.68 and 2,570,701,456.40 is: 3,547,633,290.42
Step by Step Solution
- Step 1: Write the proportion equation
4,685,246,072.60 : 6,465,758,557.68 = 2,570,701,456.40 : x - Step 2: Convert to fraction form
4,685,246,072.60/6,465,758,557.68 = 2,570,701,456.40/x - Step 3: Cross multiply
4,685,246,072.60x = 6,465,758,557.68 × 2,570,701,456.40 - Step 4: Simplify right side
4,685,246,072.60x = 16,621,534,940,926,410,752 - Step 5: Solve for x
x = 16,621,534,940,926,410,752/4,685,246,072.60 - Step 6: Final answer
x = 3,547,633,290.42
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.