Finding the Fourth Proportional to 849,925,664,243.58, 1,172,894,569,113.30 and 464,549,786,876.09
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Solution
The fourth proportional to 849,925,664,243.58, 1,172,894,569,113.30 and 464,549,786,876.09 is: 641,077,149,487.69
Step by Step Solution
- Step 1: Write the proportion equation
849,925,664,243.58 : 1,172,894,569,113.30 = 464,549,786,876.09 : x - Step 2: Convert to fraction form
849,925,664,243.58/1,172,894,569,113.30 = 464,549,786,876.09/x - Step 3: Cross multiply
849,925,664,243.58x = 1,172,894,569,113.30 × 464,549,786,876.09 - Step 4: Simplify right side
849,925,664,243.58x = 544,867,922,109,706,977,411,072 - Step 5: Solve for x
x = 544,867,922,109,706,977,411,072/849,925,664,243.58 - Step 6: Final answer
x = 641,077,149,487.69
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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.