Finding the Fourth Proportional to 477,724,306,962.99, 659,259,518,396.10 and 257,992,977,931.02
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Solution
The fourth proportional to 477,724,306,962.99, 659,259,518,396.10 and 257,992,977,931.02 is: 356,030,295,928.73
Step by Step Solution
- Step 1: Write the proportion equation
477,724,306,962.99 : 659,259,518,396.10 = 257,992,977,931.02 : x - Step 2: Convert to fraction form
477,724,306,962.99/659,259,518,396.10 = 257,992,977,931.02/x - Step 3: Cross multiply
477,724,306,962.99x = 659,259,518,396.10 × 257,992,977,931.02 - Step 4: Simplify right side
477,724,306,962.99x = 170,084,326,380,379,888,943,104 - Step 5: Solve for x
x = 170,084,326,380,379,888,943,104/477,724,306,962.99 - Step 6: Final answer
x = 356,030,295,928.73
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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.