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Finding the Fourth Proportional to 640,129,302.90, 960,911,399.70 and 495,205,342.20

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Solution

The fourth proportional to 640,129,302.90, 960,911,399.70 and 495,205,342.20 is: 743,363,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,129,302.90 : 960,911,399.70 = 495,205,342.20 : x
  2. Step 2: Convert to fraction form
    640,129,302.90/960,911,399.70 = 495,205,342.20/x
  3. Step 3: Cross multiply
    640,129,302.90x = 960,911,399.70 × 495,205,342.20
  4. Step 4: Simplify right side
    640,129,302.90x = 475,848,458,512,319,488
  5. Step 5: Solve for x
    x = 475,848,458,512,319,488/640,129,302.90
  6. Step 6: Final answer
    x = 743,363,030.49

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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.