Finding the Fourth Proportional to 1,309,469,202.13, 1,964,185,305.89 and 609,569,875
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Solution
The fourth proportional to 1,309,469,202.13, 1,964,185,305.89 and 609,569,875 is: 914,346,201.84
Step by Step Solution
- Step 1: Write the proportion equation
1,309,469,202.13 : 1,964,185,305.89 = 609,569,875 : x - Step 2: Convert to fraction form
1,309,469,202.13/1,964,185,305.89 = 609,569,875/x - Step 3: Cross multiply
1,309,469,202.13x = 1,964,185,305.89 × 609,569,875 - Step 4: Simplify right side
1,309,469,202.13x = 1,197,308,191,388,204,032 - Step 5: Solve for x
x = 1,197,308,191,388,204,032/1,309,469,202.13 - Step 6: Final answer
x = 914,346,201.84
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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.