Finding the Fourth Proportional to 1,314,165,700.20, 1,971,248,550.30 and 344,915,293.80
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Solution
The fourth proportional to 1,314,165,700.20, 1,971,248,550.30 and 344,915,293.80 is: 517,372,940.70
Step by Step Solution
- Step 1: Write the proportion equation
1,314,165,700.20 : 1,971,248,550.30 = 344,915,293.80 : x - Step 2: Convert to fraction form
1,314,165,700.20/1,971,248,550.30 = 344,915,293.80/x - Step 3: Cross multiply
1,314,165,700.20x = 1,971,248,550.30 × 344,915,293.80 - Step 4: Simplify right side
1,314,165,700.20x = 679,913,772,879,548,544 - Step 5: Solve for x
x = 679,913,772,879,548,544/1,314,165,700.20 - Step 6: Final answer
x = 517,372,940.70
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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.