Finding the Fourth Proportional to 5,972,899,146,340, 8,242,513,101,228.40 and 3,336,161,931,421.20
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Solution
The fourth proportional to 5,972,899,146,340, 8,242,513,101,228.40 and 3,336,161,931,421.20 is: 4,603,854,468,965.68
Step by Step Solution
- Step 1: Write the proportion equation
5,972,899,146,340 : 8,242,513,101,228.40 = 3,336,161,931,421.20 : x - Step 2: Convert to fraction form
5,972,899,146,340/8,242,513,101,228.40 = 3,336,161,931,421.20/x - Step 3: Cross multiply
5,972,899,146,340x = 8,242,513,101,228.40 × 3,336,161,931,421.20 - Step 4: Simplify right side
5,972,899,146,340x = 27,498,358,427,558,685,131,669,504 - Step 5: Solve for x
x = 27,498,358,427,558,685,131,669,504/5,972,899,146,340 - Step 6: Final answer
x = 4,603,854,468,965.68
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.