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Finding the Fourth Proportional to 12,497,643.80, 18,746,465.70 and 3,978,841.40

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Solution

The fourth proportional to 12,497,643.80, 18,746,465.70 and 3,978,841.40 is: 5,968,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497,643.80 : 18,746,465.70 = 3,978,841.40 : x
  2. Step 2: Convert to fraction form
    12,497,643.80/18,746,465.70 = 3,978,841.40/x
  3. Step 3: Cross multiply
    12,497,643.80x = 18,746,465.70 × 3,978,841.40
  4. Step 4: Simplify right side
    12,497,643.80x = 74,589,213,830,839.97
  5. Step 5: Solve for x
    x = 74,589,213,830,839.97/12,497,643.80
  6. Step 6: Final answer
    x = 5,968,262.10

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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.