Finding the Fourth Proportional to 1,290,410,418,426.20, 1,780,757,318,462.60 and 704,460,264,050.95
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Solution
The fourth proportional to 1,290,410,418,426.20, 1,780,757,318,462.60 and 704,460,264,050.95 is: 972,150,218,923.99
Step by Step Solution
- Step 1: Write the proportion equation
1,290,410,418,426.20 : 1,780,757,318,462.60 = 704,460,264,050.95 : x - Step 2: Convert to fraction form
1,290,410,418,426.20/1,780,757,318,462.60 = 704,460,264,050.95/x - Step 3: Cross multiply
1,290,410,418,426.20x = 1,780,757,318,462.60 × 704,460,264,050.95 - Step 4: Simplify right side
1,290,410,418,426.20x = 1,254,472,770,774,824,965,373,952 - Step 5: Solve for x
x = 1,254,472,770,774,824,965,373,952/1,290,410,418,426.20 - Step 6: Final answer
x = 972,150,218,923.99
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.