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Finding the Fourth Proportional to 437,025,805.80, 655,538,708.70 and 437,025,805.80

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Solution

The fourth proportional to 437,025,805.80, 655,538,708.70 and 437,025,805.80 is: 655,538,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,025,805.80 : 655,538,708.70 = 437,025,805.80 : x
  2. Step 2: Convert to fraction form
    437,025,805.80/655,538,708.70 = 437,025,805.80/x
  3. Step 3: Cross multiply
    437,025,805.80x = 655,538,708.70 × 437,025,805.80
  4. Step 4: Simplify right side
    437,025,805.80x = 286,487,332,402,708,992
  5. Step 5: Solve for x
    x = 286,487,332,402,708,992/437,025,805.80
  6. Step 6: Final answer
    x = 655,538,708.70

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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.