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Finding the Fourth Proportional to 482,976,201.90, 724,464,302.85 and 448,963,977.90

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Solution

The fourth proportional to 482,976,201.90, 724,464,302.85 and 448,963,977.90 is: 673,445,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,976,201.90 : 724,464,302.85 = 448,963,977.90 : x
  2. Step 2: Convert to fraction form
    482,976,201.90/724,464,302.85 = 448,963,977.90/x
  3. Step 3: Cross multiply
    482,976,201.90x = 724,464,302.85 × 448,963,977.90
  4. Step 4: Simplify right side
    482,976,201.90x = 325,258,375,254,086,272
  5. Step 5: Solve for x
    x = 325,258,375,254,086,272/482,976,201.90
  6. Step 6: Final answer
    x = 673,445,966.85

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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.