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Finding the Fourth Proportional to 209,952,266.80, 314,928,400.20 and 73,651,428.40

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Solution

The fourth proportional to 209,952,266.80, 314,928,400.20 and 73,651,428.40 is: 110,477,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,266.80 : 314,928,400.20 = 73,651,428.40 : x
  2. Step 2: Convert to fraction form
    209,952,266.80/314,928,400.20 = 73,651,428.40/x
  3. Step 3: Cross multiply
    209,952,266.80x = 314,928,400.20 × 73,651,428.40
  4. Step 4: Simplify right side
    209,952,266.80x = 23,194,926,518,456,848
  5. Step 5: Solve for x
    x = 23,194,926,518,456,848/209,952,266.80
  6. Step 6: Final answer
    x = 110,477,142.60

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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.