Finding the Fourth Proportional to 10,400,807,438,799, 14,353,147,804,052 and 5,776,299,589,017
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Solution
The fourth proportional to 10,400,807,438,799, 14,353,147,804,052 and 5,776,299,589,017 is: 7,971,312,059,135.61
Step by Step Solution
- Step 1: Write the proportion equation
10,400,807,438,799 : 14,353,147,804,052 = 5,776,299,589,017 : x - Step 2: Convert to fraction form
10,400,807,438,799/14,353,147,804,052 = 5,776,299,589,017/x - Step 3: Cross multiply
10,400,807,438,799x = 14,353,147,804,052 × 5,776,299,589,017 - Step 4: Simplify right side
10,400,807,438,799x = 82,908,081,761,645,830,034,423,808 - Step 5: Solve for x
x = 82,908,081,761,645,830,034,423,808/10,400,807,438,799 - Step 6: Final answer
x = 7,971,312,059,135.61
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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.