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Finding the Fourth Proportional to 313,178,211.20, 468,871,521.60 and 313,178,211.20

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Solution

The fourth proportional to 313,178,211.20, 468,871,521.60 and 313,178,211.20 is: 468,871,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,178,211.20 : 468,871,521.60 = 313,178,211.20 : x
  2. Step 2: Convert to fraction form
    313,178,211.20/468,871,521.60 = 313,178,211.20/x
  3. Step 3: Cross multiply
    313,178,211.20x = 468,871,521.60 × 313,178,211.20
  4. Step 4: Simplify right side
    313,178,211.20x = 146,840,344,417,310,176
  5. Step 5: Solve for x
    x = 146,840,344,417,310,176/313,178,211.20
  6. Step 6: Final answer
    x = 468,871,521.60

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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.