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Finding the Fourth Proportional to 651,305,123.40, 914,245,819.80 and 651,305,123.40

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Solution

The fourth proportional to 651,305,123.40, 914,245,819.80 and 651,305,123.40 is: 914,245,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,305,123.40 : 914,245,819.80 = 651,305,123.40 : x
  2. Step 2: Convert to fraction form
    651,305,123.40/914,245,819.80 = 651,305,123.40/x
  3. Step 3: Cross multiply
    651,305,123.40x = 914,245,819.80 × 651,305,123.40
  4. Step 4: Simplify right side
    651,305,123.40x = 595,452,986,482,773,120
  5. Step 5: Solve for x
    x = 595,452,986,482,773,120/651,305,123.40
  6. Step 6: Final answer
    x = 914,245,819.80

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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.