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Finding the Fourth Proportional to 437,029,012.30, 655,543,518.45 and 437,029,012.30

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Solution

The fourth proportional to 437,029,012.30, 655,543,518.45 and 437,029,012.30 is: 655,543,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,029,012.30 : 655,543,518.45 = 437,029,012.30 : x
  2. Step 2: Convert to fraction form
    437,029,012.30/655,543,518.45 = 437,029,012.30/x
  3. Step 3: Cross multiply
    437,029,012.30x = 655,543,518.45 × 437,029,012.30
  4. Step 4: Simplify right side
    437,029,012.30x = 286,491,536,387,870,368
  5. Step 5: Solve for x
    x = 286,491,536,387,870,368/437,029,012.30
  6. Step 6: Final answer
    x = 655,543,518.45

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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.