Finding the Fourth Proportional to 2,358,462,081,776.80, 3,538,046,850,533.80 and 828,368,695,910.09
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Solution
The fourth proportional to 2,358,462,081,776.80, 3,538,046,850,533.80 and 828,368,695,910.09 is: 1,242,677,284,613.16
Step by Step Solution
- Step 1: Write the proportion equation
2,358,462,081,776.80 : 3,538,046,850,533.80 = 828,368,695,910.09 : x - Step 2: Convert to fraction form
2,358,462,081,776.80/3,538,046,850,533.80 = 828,368,695,910.09/x - Step 3: Cross multiply
2,358,462,081,776.80x = 3,538,046,850,533.80 × 828,368,695,910.09 - Step 4: Simplify right side
2,358,462,081,776.80x = 2,930,807,255,645,484,977,487,872 - Step 5: Solve for x
x = 2,930,807,255,645,484,977,487,872/2,358,462,081,776.80 - Step 6: Final answer
x = 1,242,677,284,613.16
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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.