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Finding the Fourth Proportional to 147,532,505.30, 206,847,838.30 and 147,532,505.30

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Solution

The fourth proportional to 147,532,505.30, 206,847,838.30 and 147,532,505.30 is: 206,847,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,532,505.30 : 206,847,838.30 = 147,532,505.30 : x
  2. Step 2: Convert to fraction form
    147,532,505.30/206,847,838.30 = 147,532,505.30/x
  3. Step 3: Cross multiply
    147,532,505.30x = 206,847,838.30 × 147,532,505.30
  4. Step 4: Simplify right side
    147,532,505.30x = 30,516,779,800,288,296
  5. Step 5: Solve for x
    x = 30,516,779,800,288,296/147,532,505.30
  6. Step 6: Final answer
    x = 206,847,838.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.