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Finding the Fourth Proportional to 497,387,624.88, 746,082,837 and 190,773,724.08

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Solution

The fourth proportional to 497,387,624.88, 746,082,837 and 190,773,724.08 is: 286,161,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,387,624.88 : 746,082,837 = 190,773,724.08 : x
  2. Step 2: Convert to fraction form
    497,387,624.88/746,082,837 = 190,773,724.08/x
  3. Step 3: Cross multiply
    497,387,624.88x = 746,082,837 × 190,773,724.08
  4. Step 4: Simplify right side
    497,387,624.88x = 142,333,001,286,661,632
  5. Step 5: Solve for x
    x = 142,333,001,286,661,632/497,387,624.88
  6. Step 6: Final answer
    x = 286,161,122.97

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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.