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Finding the Fourth Proportional to 209,968,237.80, 314,952,356.70 and 133,346,255.40

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Solution

The fourth proportional to 209,968,237.80, 314,952,356.70 and 133,346,255.40 is: 200,019,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968,237.80 : 314,952,356.70 = 133,346,255.40 : x
  2. Step 2: Convert to fraction form
    209,968,237.80/314,952,356.70 = 133,346,255.40/x
  3. Step 3: Cross multiply
    209,968,237.80x = 314,952,356.70 × 133,346,255.40
  4. Step 4: Simplify right side
    209,968,237.80x = 41,997,717,395,350,104
  5. Step 5: Solve for x
    x = 41,997,717,395,350,104/209,968,237.80
  6. Step 6: Final answer
    x = 200,019,383.10

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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.