Finding the Fourth Proportional to 40,228,470,185,073, 60,342,705,209,420 and 9,666,505,264,776.40
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Solution
The fourth proportional to 40,228,470,185,073, 60,342,705,209,420 and 9,666,505,264,776.40 is: 14,499,757,880,779.33
Step by Step Solution
- Step 1: Write the proportion equation
40,228,470,185,073 : 60,342,705,209,420 = 9,666,505,264,776.40 : x - Step 2: Convert to fraction form
40,228,470,185,073/60,342,705,209,420 = 9,666,505,264,776.40/x - Step 3: Cross multiply
40,228,470,185,073x = 60,342,705,209,420 × 9,666,505,264,776.40 - Step 4: Simplify right side
40,228,470,185,073x = 583,303,077,597,708,722,177,572,864 - Step 5: Solve for x
x = 583,303,077,597,708,722,177,572,864/40,228,470,185,073 - Step 6: Final answer
x = 14,499,757,880,779.33
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.