Finding the Fourth Proportional to 4,563,226,436,643, 6,297,403,503,856.50 and 2,507,962,464,367
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Solution
The fourth proportional to 4,563,226,436,643, 6,297,403,503,856.50 and 2,507,962,464,367 is: 3,461,071,202,564.33
Step by Step Solution
- Step 1: Write the proportion equation
4,563,226,436,643 : 6,297,403,503,856.50 = 2,507,962,464,367 : x - Step 2: Convert to fraction form
4,563,226,436,643/6,297,403,503,856.50 = 2,507,962,464,367/x - Step 3: Cross multiply
4,563,226,436,643x = 6,297,403,503,856.50 × 2,507,962,464,367 - Step 4: Simplify right side
4,563,226,436,643x = 15,793,651,610,645,328,081,977,344 - Step 5: Solve for x
x = 15,793,651,610,645,328,081,977,344/4,563,226,436,643 - Step 6: Final answer
x = 3,461,071,202,564.33
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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.