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Finding the Fourth Proportional to 147,177,320.40, 220,287,683.70 and 147,177,320.40

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Solution

The fourth proportional to 147,177,320.40, 220,287,683.70 and 147,177,320.40 is: 220,287,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,177,320.40 : 220,287,683.70 = 147,177,320.40 : x
  2. Step 2: Convert to fraction form
    147,177,320.40/220,287,683.70 = 147,177,320.40/x
  3. Step 3: Cross multiply
    147,177,320.40x = 220,287,683.70 × 147,177,320.40
  4. Step 4: Simplify right side
    147,177,320.40x = 32,421,351,004,088,756
  5. Step 5: Solve for x
    x = 32,421,351,004,088,756/147,177,320.40
  6. Step 6: Final answer
    x = 220,287,683.70

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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.