Finding the Fourth Proportional to 1,160,051,269.87, 1,740,029,714.81 and 286,630,643.58
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Solution
The fourth proportional to 1,160,051,269.87, 1,740,029,714.81 and 286,630,643.58 is: 429,934,305.46
Step by Step Solution
- Step 1: Write the proportion equation
1,160,051,269.87 : 1,740,029,714.81 = 286,630,643.58 : x - Step 2: Convert to fraction form
1,160,051,269.87/1,740,029,714.81 = 286,630,643.58/x - Step 3: Cross multiply
1,160,051,269.87x = 1,740,029,714.81 × 286,630,643.58 - Step 4: Simplify right side
1,160,051,269.87x = 498,745,837,004,314,112 - Step 5: Solve for x
x = 498,745,837,004,314,112/1,160,051,269.87 - Step 6: Final answer
x = 429,934,305.46
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1.5x scale
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.