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Finding the Fourth Proportional to 651,305,145.90, 914,245,851.30 and 651,305,145.90

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Solution

The fourth proportional to 651,305,145.90, 914,245,851.30 and 651,305,145.90 is: 914,245,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,305,145.90 : 914,245,851.30 = 651,305,145.90 : x
  2. Step 2: Convert to fraction form
    651,305,145.90/914,245,851.30 = 651,305,145.90/x
  3. Step 3: Cross multiply
    651,305,145.90x = 914,245,851.30 × 651,305,145.90
  4. Step 4: Simplify right side
    651,305,145.90x = 595,453,027,569,416,192
  5. Step 5: Solve for x
    x = 595,453,027,569,416,192/651,305,145.90
  6. Step 6: Final answer
    x = 914,245,851.30

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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.