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Finding the Fourth Proportional to 472,392,647.80, 708,588,971.70 and 469,522,866.40

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Solution

The fourth proportional to 472,392,647.80, 708,588,971.70 and 469,522,866.40 is: 704,284,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,647.80 : 708,588,971.70 = 469,522,866.40 : x
  2. Step 2: Convert to fraction form
    472,392,647.80/708,588,971.70 = 469,522,866.40/x
  3. Step 3: Cross multiply
    472,392,647.80x = 708,588,971.70 × 469,522,866.40
  4. Step 4: Simplify right side
    472,392,647.80x = 332,698,725,092,012,480
  5. Step 5: Solve for x
    x = 332,698,725,092,012,480/472,392,647.80
  6. Step 6: Final answer
    x = 704,284,299.60

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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.