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Finding the Fourth Proportional to 653,496,348.70, 917,190,713.30 and 653,496,348.70

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Solution

The fourth proportional to 653,496,348.70, 917,190,713.30 and 653,496,348.70 is: 917,190,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,496,348.70 : 917,190,713.30 = 653,496,348.70 : x
  2. Step 2: Convert to fraction form
    653,496,348.70/917,190,713.30 = 653,496,348.70/x
  3. Step 3: Cross multiply
    653,496,348.70x = 917,190,713.30 × 653,496,348.70
  4. Step 4: Simplify right side
    653,496,348.70x = 599,380,782,203,098,496
  5. Step 5: Solve for x
    x = 599,380,782,203,098,496/653,496,348.70
  6. Step 6: Final answer
    x = 917,190,713.30

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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.