Finding the Fourth Proportional to 1,536,097,224.50, 2,119,138,648.71 and 900,693,388.70
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Solution
The fourth proportional to 1,536,097,224.50, 2,119,138,648.71 and 900,693,388.70 is: 1,242,560,783.39
Step by Step Solution
- Step 1: Write the proportion equation
1,536,097,224.50 : 2,119,138,648.71 = 900,693,388.70 : x - Step 2: Convert to fraction form
1,536,097,224.50/2,119,138,648.71 = 900,693,388.70/x - Step 3: Cross multiply
1,536,097,224.50x = 2,119,138,648.71 × 900,693,388.70 - Step 4: Simplify right side
1,536,097,224.50x = 1,908,694,170,631,748,864 - Step 5: Solve for x
x = 1,908,694,170,631,748,864/1,536,097,224.50 - Step 6: Final answer
x = 1,242,560,783.39
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Double scale
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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.