Finding the Fourth Proportional to 772,595,281,342.12, 1,158,892,649,249.20 and 206,618,258,132.96
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Solution
The fourth proportional to 772,595,281,342.12, 1,158,892,649,249.20 and 206,618,258,132.96 is: 309,927,314,253.07
Step by Step Solution
- Step 1: Write the proportion equation
772,595,281,342.12 : 1,158,892,649,249.20 = 206,618,258,132.96 : x - Step 2: Convert to fraction form
772,595,281,342.12/1,158,892,649,249.20 = 206,618,258,132.96/x - Step 3: Cross multiply
772,595,281,342.12x = 1,158,892,649,249.20 × 206,618,258,132.96 - Step 4: Simplify right side
772,595,281,342.12x = 239,448,380,550,961,071,915,008 - Step 5: Solve for x
x = 239,448,380,550,961,071,915,008/772,595,281,342.12 - Step 6: Final answer
x = 309,927,314,253.07
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.