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Finding the Fourth Proportional to 465,696,073.20, 698,446,132.20 and 235,448,713.20

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Solution

The fourth proportional to 465,696,073.20, 698,446,132.20 and 235,448,713.20 is: 353,123,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,696,073.20 : 698,446,132.20 = 235,448,713.20 : x
  2. Step 2: Convert to fraction form
    465,696,073.20/698,446,132.20 = 235,448,713.20/x
  3. Step 3: Cross multiply
    465,696,073.20x = 698,446,132.20 × 235,448,713.20
  4. Step 4: Simplify right side
    465,696,073.20x = 164,448,243,066,007,072
  5. Step 5: Solve for x
    x = 164,448,243,066,007,072/465,696,073.20
  6. Step 6: Final answer
    x = 353,123,533.84

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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.