Finding the Fourth Proportional to 497,488,095,376.92, 746,306,757,537.70 and 174,734,021,795.68
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Solution
The fourth proportional to 497,488,095,376.92, 746,306,757,537.70 and 174,734,021,795.68 is: 262,127,239,726.32
Step by Step Solution
- Step 1: Write the proportion equation
497,488,095,376.92 : 746,306,757,537.70 = 174,734,021,795.68 : x - Step 2: Convert to fraction form
497,488,095,376.92/746,306,757,537.70 = 174,734,021,795.68/x - Step 3: Cross multiply
497,488,095,376.92x = 746,306,757,537.70 × 174,734,021,795.68 - Step 4: Simplify right side
497,488,095,376.92x = 130,405,181,237,855,728,435,200 - Step 5: Solve for x
x = 130,405,181,237,855,728,435,200/497,488,095,376.92 - Step 6: Final answer
x = 262,127,239,726.32
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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.