Finding the Fourth Proportional to 2,358,462,081,770.70, 3,538,046,850,524.90 and 828,368,695,904.10
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Solution
The fourth proportional to 2,358,462,081,770.70, 3,538,046,850,524.90 and 828,368,695,904.10 is: 1,242,677,284,604.26
Step by Step Solution
- Step 1: Write the proportion equation
2,358,462,081,770.70 : 3,538,046,850,524.90 = 828,368,695,904.10 : x - Step 2: Convert to fraction form
2,358,462,081,770.70/3,538,046,850,524.90 = 828,368,695,904.10/x - Step 3: Cross multiply
2,358,462,081,770.70x = 3,538,046,850,524.90 × 828,368,695,904.10 - Step 4: Simplify right side
2,358,462,081,770.70x = 2,930,807,255,616,919,686,873,088 - Step 5: Solve for x
x = 2,930,807,255,616,919,686,873,088/2,358,462,081,770.70 - Step 6: Final answer
x = 1,242,677,284,604.26
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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.