Finding the Fourth Proportional to 1,771,471,911.60, 2,657,207,867.40 and 1,033,784,564.40
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Solution
The fourth proportional to 1,771,471,911.60, 2,657,207,867.40 and 1,033,784,564.40 is: 1,550,676,846.60
Step by Step Solution
- Step 1: Write the proportion equation
1,771,471,911.60 : 2,657,207,867.40 = 1,033,784,564.40 : x - Step 2: Convert to fraction form
1,771,471,911.60/2,657,207,867.40 = 1,033,784,564.40/x - Step 3: Cross multiply
1,771,471,911.60x = 2,657,207,867.40 × 1,033,784,564.40 - Step 4: Simplify right side
1,771,471,911.60x = 2,746,980,477,720,361,984 - Step 5: Solve for x
x = 2,746,980,477,720,361,984/1,771,471,911.60 - Step 6: Final answer
x = 1,550,676,846.60
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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.