Finding the Fourth Proportional to 367,537,993,178.13, 507,202,919,184.06 and 202,735,794,759.04
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Solution
The fourth proportional to 367,537,993,178.13, 507,202,919,184.06 and 202,735,794,759.04 is: 279,775,666,280.71
Step by Step Solution
- Step 1: Write the proportion equation
367,537,993,178.13 : 507,202,919,184.06 = 202,735,794,759.04 : x - Step 2: Convert to fraction form
367,537,993,178.13/507,202,919,184.06 = 202,735,794,759.04/x - Step 3: Cross multiply
367,537,993,178.13x = 507,202,919,184.06 × 202,735,794,759.04 - Step 4: Simplify right side
367,537,993,178.13x = 102,828,186,924,885,548,728,320 - Step 5: Solve for x
x = 102,828,186,924,885,548,728,320/367,537,993,178.13 - Step 6: Final answer
x = 279,775,666,280.71
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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.