Finding the Fourth Proportional to 497,488,095,374.90, 746,306,757,534.70 and 174,734,021,793.67
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Solution
The fourth proportional to 497,488,095,374.90, 746,306,757,534.70 and 174,734,021,793.67 is: 262,127,239,723.31
Step by Step Solution
- Step 1: Write the proportion equation
497,488,095,374.90 : 746,306,757,534.70 = 174,734,021,793.67 : x - Step 2: Convert to fraction form
497,488,095,374.90/746,306,757,534.70 = 174,734,021,793.67/x - Step 3: Cross multiply
497,488,095,374.90x = 746,306,757,534.70 × 174,734,021,793.67 - Step 4: Simplify right side
497,488,095,374.90x = 130,405,181,235,831,456,661,504 - Step 5: Solve for x
x = 130,405,181,235,831,456,661,504/497,488,095,374.90 - Step 6: Final answer
x = 262,127,239,723.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.