Finding the Fourth Proportional to 1,546,613,902.56, 2,134,374,058.80 and 841,816,848.36
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Solution
The fourth proportional to 1,546,613,902.56, 2,134,374,058.80 and 841,816,848.36 is: 1,161,732,763.70
Step by Step Solution
- Step 1: Write the proportion equation
1,546,613,902.56 : 2,134,374,058.80 = 841,816,848.36 : x - Step 2: Convert to fraction form
1,546,613,902.56/2,134,374,058.80 = 841,816,848.36/x - Step 3: Cross multiply
1,546,613,902.56x = 2,134,374,058.80 × 841,816,848.36 - Step 4: Simplify right side
1,546,613,902.56x = 1,796,752,043,400,357,376 - Step 5: Solve for x
x = 1,796,752,043,400,357,376/1,546,613,902.56 - Step 6: Final answer
x = 1,161,732,763.70
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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.