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Finding the Fourth Proportional to 118,098,004.80, 164,954,569.20 and 118,098,004.80

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Solution

The fourth proportional to 118,098,004.80, 164,954,569.20 and 118,098,004.80 is: 164,954,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098,004.80 : 164,954,569.20 = 118,098,004.80 : x
  2. Step 2: Convert to fraction form
    118,098,004.80/164,954,569.20 = 118,098,004.80/x
  3. Step 3: Cross multiply
    118,098,004.80x = 164,954,569.20 × 118,098,004.80
  4. Step 4: Simplify right side
    118,098,004.80x = 19,480,805,505,163,532
  5. Step 5: Solve for x
    x = 19,480,805,505,163,532/118,098,004.80
  6. Step 6: Final answer
    x = 164,954,569.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.