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Finding the Fourth Proportional to 66,974,783.40, 100,462,175.10 and 47,701,189.80

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Solution

The fourth proportional to 66,974,783.40, 100,462,175.10 and 47,701,189.80 is: 71,551,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,974,783.40 : 100,462,175.10 = 47,701,189.80 : x
  2. Step 2: Convert to fraction form
    66,974,783.40/100,462,175.10 = 47,701,189.80/x
  3. Step 3: Cross multiply
    66,974,783.40x = 100,462,175.10 × 47,701,189.80
  4. Step 4: Simplify right side
    66,974,783.40x = 4,792,165,282,165,933
  5. Step 5: Solve for x
    x = 4,792,165,282,165,933/66,974,783.40
  6. Step 6: Final answer
    x = 71,551,784.70

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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.