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Finding the Fourth Proportional to 437,027,897.80, 655,541,846.70 and 437,027,897.80

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Solution

The fourth proportional to 437,027,897.80, 655,541,846.70 and 437,027,897.80 is: 655,541,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,027,897.80 : 655,541,846.70 = 437,027,897.80 : x
  2. Step 2: Convert to fraction form
    437,027,897.80/655,541,846.70 = 437,027,897.80/x
  3. Step 3: Cross multiply
    437,027,897.80x = 655,541,846.70 × 437,027,897.80
  4. Step 4: Simplify right side
    437,027,897.80x = 286,490,075,183,230,880
  5. Step 5: Solve for x
    x = 286,490,075,183,230,880/437,027,897.80
  6. Step 6: Final answer
    x = 655,541,846.70

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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.