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Finding the Fourth Proportional to 472,392,648.30, 708,588,972.45 and 469,522,866.90

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Solution

The fourth proportional to 472,392,648.30, 708,588,972.45 and 469,522,866.90 is: 704,284,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,648.30 : 708,588,972.45 = 469,522,866.90 : x
  2. Step 2: Convert to fraction form
    472,392,648.30/708,588,972.45 = 469,522,866.90/x
  3. Step 3: Cross multiply
    472,392,648.30x = 708,588,972.45 × 469,522,866.90
  4. Step 4: Simplify right side
    472,392,648.30x = 332,698,725,798,449,152
  5. Step 5: Solve for x
    x = 332,698,725,798,449,152/472,392,648.30
  6. Step 6: Final answer
    x = 704,284,300.35

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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.