Finding the Fourth Proportional to 7,460,096,824.18, 10,299,579,725.42 and 4,748,894,387.56
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Solution
The fourth proportional to 7,460,096,824.18, 10,299,579,725.42 and 4,748,894,387.56 is: 6,556,431,840.64
Step by Step Solution
- Step 1: Write the proportion equation
7,460,096,824.18 : 10,299,579,725.42 = 4,748,894,387.56 : x - Step 2: Convert to fraction form
7,460,096,824.18/10,299,579,725.42 = 4,748,894,387.56/x - Step 3: Cross multiply
7,460,096,824.18x = 10,299,579,725.42 × 4,748,894,387.56 - Step 4: Simplify right side
7,460,096,824.18x = 48,911,616,352,273,809,408 - Step 5: Solve for x
x = 48,911,616,352,273,809,408/7,460,096,824.18 - Step 6: Final answer
x = 6,556,431,840.64
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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.