Finding the Fourth Proportional to 967,088,008,201.60, 1,450,632,012,302.40 and 463,751,308,892.80
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Solution
The fourth proportional to 967,088,008,201.60, 1,450,632,012,302.40 and 463,751,308,892.80 is: 695,626,963,339.20
Step by Step Solution
- Step 1: Write the proportion equation
967,088,008,201.60 : 1,450,632,012,302.40 = 463,751,308,892.80 : x - Step 2: Convert to fraction form
967,088,008,201.60/1,450,632,012,302.40 = 463,751,308,892.80/x - Step 3: Cross multiply
967,088,008,201.60x = 1,450,632,012,302.40 × 463,751,308,892.80 - Step 4: Simplify right side
967,088,008,201.60x = 672,732,494,427,034,287,603,712 - Step 5: Solve for x
x = 672,732,494,427,034,287,603,712/967,088,008,201.60 - Step 6: Final answer
x = 695,626,963,339.20
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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.