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Finding the Fourth Proportional to 521,551,982.65, 782,327,973.98 and 521,551,982.65

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Solution

The fourth proportional to 521,551,982.65, 782,327,973.98 and 521,551,982.65 is: 782,327,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,551,982.65 : 782,327,973.98 = 521,551,982.65 : x
  2. Step 2: Convert to fraction form
    521,551,982.65/782,327,973.98 = 521,551,982.65/x
  3. Step 3: Cross multiply
    521,551,982.65x = 782,327,973.98 × 521,551,982.65
  4. Step 4: Simplify right side
    521,551,982.65x = 408,024,705,909,218,816
  5. Step 5: Solve for x
    x = 408,024,705,909,218,816/521,551,982.65
  6. Step 6: Final answer
    x = 782,327,973.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.