Finding the Fourth Proportional to 1,894,275,813,749.40, 2,841,580,759,746.90 and 534,444,425,644.26
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Solution
The fourth proportional to 1,894,275,813,749.40, 2,841,580,759,746.90 and 534,444,425,644.26 is: 801,713,766,306.70
Step by Step Solution
- Step 1: Write the proportion equation
1,894,275,813,749.40 : 2,841,580,759,746.90 = 534,444,425,644.26 : x - Step 2: Convert to fraction form
1,894,275,813,749.40/2,841,580,759,746.90 = 534,444,425,644.26/x - Step 3: Cross multiply
1,894,275,813,749.40x = 2,841,580,759,746.90 × 534,444,425,644.26 - Step 4: Simplify right side
1,894,275,813,749.40x = 1,518,666,997,064,711,802,978,304 - Step 5: Solve for x
x = 1,518,666,997,064,711,802,978,304/1,894,275,813,749.40 - Step 6: Final answer
x = 801,713,766,306.70
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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.