Finding the Fourth Proportional to 761,780,202,026.08, 1,051,256,850,389.30 and 419,224,065,005.04
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Solution
The fourth proportional to 761,780,202,026.08, 1,051,256,850,389.30 and 419,224,065,005.04 is: 578,529,304,138.45
Step by Step Solution
- Step 1: Write the proportion equation
761,780,202,026.08 : 1,051,256,850,389.30 = 419,224,065,005.04 : x - Step 2: Convert to fraction form
761,780,202,026.08/1,051,256,850,389.30 = 419,224,065,005.04/x - Step 3: Cross multiply
761,780,202,026.08x = 1,051,256,850,389.30 × 419,224,065,005.04 - Step 4: Simplify right side
761,780,202,026.08x = 440,712,170,184,597,477,261,312 - Step 5: Solve for x
x = 440,712,170,184,597,477,261,312/761,780,202,026.08 - Step 6: Final answer
x = 578,529,304,138.45
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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.