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Finding the Fourth Proportional to 537,664,698.60, 806,497,047.90 and 537,664,698.60

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Solution

The fourth proportional to 537,664,698.60, 806,497,047.90 and 537,664,698.60 is: 806,497,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,664,698.60 : 806,497,047.90 = 537,664,698.60 : x
  2. Step 2: Convert to fraction form
    537,664,698.60/806,497,047.90 = 537,664,698.60/x
  3. Step 3: Cross multiply
    537,664,698.60x = 806,497,047.90 × 537,664,698.60
  4. Step 4: Simplify right side
    537,664,698.60x = 433,624,992,180,943,296
  5. Step 5: Solve for x
    x = 433,624,992,180,943,296/537,664,698.60
  6. Step 6: Final answer
    x = 806,497,047.90

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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.