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Finding the Fourth Proportional to 315,480,212.55, 473,220,318.83 and 315,480,212.55

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Solution

The fourth proportional to 315,480,212.55, 473,220,318.83 and 315,480,212.55 is: 473,220,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480,212.55 : 473,220,318.83 = 315,480,212.55 : x
  2. Step 2: Convert to fraction form
    315,480,212.55/473,220,318.83 = 315,480,212.55/x
  3. Step 3: Cross multiply
    315,480,212.55x = 473,220,318.83 × 315,480,212.55
  4. Step 4: Simplify right side
    315,480,212.55x = 149,291,646,765,889,760
  5. Step 5: Solve for x
    x = 149,291,646,765,889,760/315,480,212.55
  6. Step 6: Final answer
    x = 473,220,318.83

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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.