Finding the Fourth Proportional to 3,578,588,668.32, 5,365,388,878.80 and 1,585,547,408.16
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Solution
The fourth proportional to 3,578,588,668.32, 5,365,388,878.80 and 1,585,547,408.16 is: 2,377,216,053.32
Step by Step Solution
- Step 1: Write the proportion equation
3,578,588,668.32 : 5,365,388,878.80 = 1,585,547,408.16 : x - Step 2: Convert to fraction form
3,578,588,668.32/5,365,388,878.80 = 1,585,547,408.16/x - Step 3: Cross multiply
3,578,588,668.32x = 5,365,388,878.80 × 1,585,547,408.16 - Step 4: Simplify right side
3,578,588,668.32x = 8,507,078,430,551,829,504 - Step 5: Solve for x
x = 8,507,078,430,551,829,504/3,578,588,668.32 - Step 6: Final answer
x = 2,377,216,053.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.