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Finding the Fourth Proportional to 498,231,036.45, 747,346,554.68 and 498,231,036.45

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Solution

The fourth proportional to 498,231,036.45, 747,346,554.68 and 498,231,036.45 is: 747,346,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,231,036.45 : 747,346,554.68 = 498,231,036.45 : x
  2. Step 2: Convert to fraction form
    498,231,036.45/747,346,554.68 = 498,231,036.45/x
  3. Step 3: Cross multiply
    498,231,036.45x = 747,346,554.68 × 498,231,036.45
  4. Step 4: Simplify right side
    498,231,036.45x = 372,351,248,523,061,824
  5. Step 5: Solve for x
    x = 372,351,248,523,061,824/498,231,036.45
  6. Step 6: Final answer
    x = 747,346,554.68

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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.