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Finding the Fourth Proportional to 464,640,534.40, 696,960,801.60 and 441,965,718.40

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Solution

The fourth proportional to 464,640,534.40, 696,960,801.60 and 441,965,718.40 is: 662,948,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,640,534.40 : 696,960,801.60 = 441,965,718.40 : x
  2. Step 2: Convert to fraction form
    464,640,534.40/696,960,801.60 = 441,965,718.40/x
  3. Step 3: Cross multiply
    464,640,534.40x = 696,960,801.60 × 441,965,718.40
  4. Step 4: Simplify right side
    464,640,534.40x = 308,032,781,375,783,872
  5. Step 5: Solve for x
    x = 308,032,781,375,783,872/464,640,534.40
  6. Step 6: Final answer
    x = 662,948,577.60

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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.