Finding the Fourth Proportional to 4,652,421,714.82, 6,420,334,182.51 and 2,537,877,659.05
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Solution
The fourth proportional to 4,652,421,714.82, 6,420,334,182.51 and 2,537,877,659.05 is: 3,502,266,923.38
Step by Step Solution
- Step 1: Write the proportion equation
4,652,421,714.82 : 6,420,334,182.51 = 2,537,877,659.05 : x - Step 2: Convert to fraction form
4,652,421,714.82/6,420,334,182.51 = 2,537,877,659.05/x - Step 3: Cross multiply
4,652,421,714.82x = 6,420,334,182.51 × 2,537,877,659.05 - Step 4: Simplify right side
4,652,421,714.82x = 16,294,022,685,427,175,424 - Step 5: Solve for x
x = 16,294,022,685,427,175,424/4,652,421,714.82 - Step 6: Final answer
x = 3,502,266,923.38
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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.