Finding the Fourth Proportional to 1,213,455,406,202.40, 1,674,570,479,289.60 and 664,734,748,234.02
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Solution
The fourth proportional to 1,213,455,406,202.40, 1,674,570,479,289.60 and 664,734,748,234.02 is: 917,335,058,429.85
Step by Step Solution
- Step 1: Write the proportion equation
1,213,455,406,202.40 : 1,674,570,479,289.60 = 664,734,748,234.02 : x - Step 2: Convert to fraction form
1,213,455,406,202.40/1,674,570,479,289.60 = 664,734,748,234.02/x - Step 3: Cross multiply
1,213,455,406,202.40x = 1,674,570,479,289.60 × 664,734,748,234.02 - Step 4: Simplify right side
1,213,455,406,202.40x = 1,113,145,185,950,694,622,887,936 - Step 5: Solve for x
x = 1,113,145,185,950,694,622,887,936/1,213,455,406,202.40 - Step 6: Final answer
x = 917,335,058,429.85
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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.