Finding the Fourth Proportional to 948,245,395,044.95, 1,308,544,787,450.80 and 536,705,037,855.92
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Solution
The fourth proportional to 948,245,395,044.95, 1,308,544,787,450.80 and 536,705,037,855.92 is: 740,633,788,842.87
Step by Step Solution
- Step 1: Write the proportion equation
948,245,395,044.95 : 1,308,544,787,450.80 = 536,705,037,855.92 : x - Step 2: Convert to fraction form
948,245,395,044.95/1,308,544,787,450.80 = 536,705,037,855.92/x - Step 3: Cross multiply
948,245,395,044.95x = 1,308,544,787,450.80 × 536,705,037,855.92 - Step 4: Simplify right side
948,245,395,044.95x = 702,302,579,684,948,370,784,256 - Step 5: Solve for x
x = 702,302,579,684,948,370,784,256/948,245,395,044.95 - Step 6: Final answer
x = 740,633,788,842.87
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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.