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Finding the Fourth Proportional to 209,820,735.20, 314,731,102.80 and 209,820,735.20

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Solution

The fourth proportional to 209,820,735.20, 314,731,102.80 and 209,820,735.20 is: 314,731,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820,735.20 : 314,731,102.80 = 209,820,735.20 : x
  2. Step 2: Convert to fraction form
    209,820,735.20/314,731,102.80 = 209,820,735.20/x
  3. Step 3: Cross multiply
    209,820,735.20x = 314,731,102.80 × 209,820,735.20
  4. Step 4: Simplify right side
    209,820,735.20x = 66,037,111,379,802,776
  5. Step 5: Solve for x
    x = 66,037,111,379,802,776/209,820,735.20
  6. Step 6: Final answer
    x = 314,731,102.80

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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.