Finding the Fourth Proportional to 2,358,462,081,768.80, 3,538,046,850,521.70 and 828,368,695,901.91
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Solution
The fourth proportional to 2,358,462,081,768.80, 3,538,046,850,521.70 and 828,368,695,901.91 is: 1,242,677,284,600.85
Step by Step Solution
- Step 1: Write the proportion equation
2,358,462,081,768.80 : 3,538,046,850,521.70 = 828,368,695,901.91 : x - Step 2: Convert to fraction form
2,358,462,081,768.80/3,538,046,850,521.70 = 828,368,695,901.91/x - Step 3: Cross multiply
2,358,462,081,768.80x = 3,538,046,850,521.70 × 828,368,695,901.91 - Step 4: Simplify right side
2,358,462,081,768.80x = 2,930,807,255,606,521,034,178,560 - Step 5: Solve for x
x = 2,930,807,255,606,521,034,178,560/2,358,462,081,768.80 - Step 6: Final answer
x = 1,242,677,284,600.85
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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.