Finding the Fourth Proportional to 477,724,307,009.14, 659,259,518,459.82 and 257,992,977,977.18
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Solution
The fourth proportional to 477,724,307,009.14, 659,259,518,459.82 and 257,992,977,977.18 is: 356,030,295,992.45
Step by Step Solution
- Step 1: Write the proportion equation
477,724,307,009.14 : 659,259,518,459.82 = 257,992,977,977.18 : x - Step 2: Convert to fraction form
477,724,307,009.14/659,259,518,459.82 = 257,992,977,977.18/x - Step 3: Cross multiply
477,724,307,009.14x = 659,259,518,459.82 × 257,992,977,977.18 - Step 4: Simplify right side
477,724,307,009.14x = 170,084,326,427,250,598,608,896 - Step 5: Solve for x
x = 170,084,326,427,250,598,608,896/477,724,307,009.14 - Step 6: Final answer
x = 356,030,295,992.45
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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.