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Finding the Fourth Proportional to 201,208,809.60, 301,813,214.40 and 123,724,711.80

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Solution

The fourth proportional to 201,208,809.60, 301,813,214.40 and 123,724,711.80 is: 185,587,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208,809.60 : 301,813,214.40 = 123,724,711.80 : x
  2. Step 2: Convert to fraction form
    201,208,809.60/301,813,214.40 = 123,724,711.80/x
  3. Step 3: Cross multiply
    201,208,809.60x = 301,813,214.40 × 123,724,711.80
  4. Step 4: Simplify right side
    201,208,809.60x = 37,341,752,969,071,608
  5. Step 5: Solve for x
    x = 37,341,752,969,071,608/201,208,809.60
  6. Step 6: Final answer
    x = 185,587,067.70

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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.