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Finding the Fourth Proportional to 300,656,566, 414,899,004.36 and 176,905,258.48

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Solution

The fourth proportional to 300,656,566, 414,899,004.36 and 176,905,258.48 is: 244,125,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,656,566 : 414,899,004.36 = 176,905,258.48 : x
  2. Step 2: Convert to fraction form
    300,656,566/414,899,004.36 = 176,905,258.48/x
  3. Step 3: Cross multiply
    300,656,566x = 414,899,004.36 × 176,905,258.48
  4. Step 4: Simplify right side
    300,656,566x = 73,397,815,609,400,448
  5. Step 5: Solve for x
    x = 73,397,815,609,400,448/300,656,566
  6. Step 6: Final answer
    x = 244,125,104.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.