Finding the Fourth Proportional to 610,462,643,560.85, 915,830,537,105.15 and 186,024,126,858.75
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Solution
The fourth proportional to 610,462,643,560.85, 915,830,537,105.15 and 186,024,126,858.75 is: 279,077,807,319.73
Step by Step Solution
- Step 1: Write the proportion equation
610,462,643,560.85 : 915,830,537,105.15 = 186,024,126,858.75 : x - Step 2: Convert to fraction form
610,462,643,560.85/915,830,537,105.15 = 186,024,126,858.75/x - Step 3: Cross multiply
610,462,643,560.85x = 915,830,537,105.15 × 186,024,126,858.75 - Step 4: Simplify right side
610,462,643,560.85x = 170,366,576,015,565,568,081,920 - Step 5: Solve for x
x = 170,366,576,015,565,568,081,920/610,462,643,560.85 - Step 6: Final answer
x = 279,077,807,319.73
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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.