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Finding the Fourth Proportional to 593,664,097.80, 829,431,043.80 and 593,664,097.80

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Solution

The fourth proportional to 593,664,097.80, 829,431,043.80 and 593,664,097.80 is: 829,431,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,664,097.80 : 829,431,043.80 = 593,664,097.80 : x
  2. Step 2: Convert to fraction form
    593,664,097.80/829,431,043.80 = 593,664,097.80/x
  3. Step 3: Cross multiply
    593,664,097.80x = 829,431,043.80 × 593,664,097.80
  4. Step 4: Simplify right side
    593,664,097.80x = 492,403,432,304,839,232
  5. Step 5: Solve for x
    x = 492,403,432,304,839,232/593,664,097.80
  6. Step 6: Final answer
    x = 829,431,043.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.