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Finding the Fourth Proportional to 497,542,538.40, 746,313,807.60 and 497,542,538.40

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Solution

The fourth proportional to 497,542,538.40, 746,313,807.60 and 497,542,538.40 is: 746,313,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,542,538.40 : 746,313,807.60 = 497,542,538.40 : x
  2. Step 2: Convert to fraction form
    497,542,538.40/746,313,807.60 = 497,542,538.40/x
  3. Step 3: Cross multiply
    497,542,538.40x = 746,313,807.60 × 497,542,538.40
  4. Step 4: Simplify right side
    497,542,538.40x = 371,322,866,276,273,216
  5. Step 5: Solve for x
    x = 371,322,866,276,273,216/497,542,538.40
  6. Step 6: Final answer
    x = 746,313,807.60

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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.