Finding the Fourth Proportional to 4,698,745,875,553, 6,484,269,620,078.40 and 2,615,322,837,658.20
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Solution
The fourth proportional to 4,698,745,875,553, 6,484,269,620,078.40 and 2,615,322,837,658.20 is: 3,609,145,689,524.75
Step by Step Solution
- Step 1: Write the proportion equation
4,698,745,875,553 : 6,484,269,620,078.40 = 2,615,322,837,658.20 : x - Step 2: Convert to fraction form
4,698,745,875,553/6,484,269,620,078.40 = 2,615,322,837,658.20/x - Step 3: Cross multiply
4,698,745,875,553x = 6,484,269,620,078.40 × 2,615,322,837,658.20 - Step 4: Simplify right side
4,698,745,875,553x = 16,958,458,422,924,301,609,992,192 - Step 5: Solve for x
x = 16,958,458,422,924,301,609,992,192/4,698,745,875,553 - Step 6: Final answer
x = 3,609,145,689,524.75
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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.