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Finding the Fourth Proportional to 269,575,298.40, 404,362,947.60 and 108,133,096.80

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Solution

The fourth proportional to 269,575,298.40, 404,362,947.60 and 108,133,096.80 is: 162,199,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,575,298.40 : 404,362,947.60 = 108,133,096.80 : x
  2. Step 2: Convert to fraction form
    269,575,298.40/404,362,947.60 = 108,133,096.80/x
  3. Step 3: Cross multiply
    269,575,298.40x = 404,362,947.60 × 108,133,096.80
  4. Step 4: Simplify right side
    269,575,298.40x = 43,725,017,755,164,128
  5. Step 5: Solve for x
    x = 43,725,017,755,164,128/269,575,298.40
  6. Step 6: Final answer
    x = 162,199,645.20

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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.