Finding the Fourth Proportional to 361,462,590,654.53, 541,598,132,192.40 and 209,943,557,293.96
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Solution
The fourth proportional to 361,462,590,654.53, 541,598,132,192.40 and 209,943,557,293.96 is: 314,569,312,111.50
Step by Step Solution
- Step 1: Write the proportion equation
361,462,590,654.53 : 541,598,132,192.40 = 209,943,557,293.96 : x - Step 2: Convert to fraction form
361,462,590,654.53/541,598,132,192.40 = 209,943,557,293.96/x - Step 3: Cross multiply
361,462,590,654.53x = 541,598,132,192.40 × 209,943,557,293.96 - Step 4: Simplify right side
361,462,590,654.53x = 113,705,038,496,236,855,885,824 - Step 5: Solve for x
x = 113,705,038,496,236,855,885,824/361,462,590,654.53 - Step 6: Final answer
x = 314,569,312,111.50
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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.