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Finding the Fourth Proportional to 465,472,590,909.20, 698,208,886,363.80 and 465,472,590,909.20

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Solution

The fourth proportional to 465,472,590,909.20, 698,208,886,363.80 and 465,472,590,909.20 is: 698,208,886,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472,590,909.20 : 698,208,886,363.80 = 465,472,590,909.20 : x
  2. Step 2: Convert to fraction form
    465,472,590,909.20/698,208,886,363.80 = 465,472,590,909.20/x
  3. Step 3: Cross multiply
    465,472,590,909.20x = 698,208,886,363.80 × 465,472,590,909.20
  4. Step 4: Simplify right side
    465,472,590,909.20x = 324,997,099,331,585,237,319,680
  5. Step 5: Solve for x
    x = 324,997,099,331,585,237,319,680/465,472,590,909.20
  6. Step 6: Final answer
    x = 698,208,886,363.80

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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.