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Finding the Fourth Proportional to 521,551,950.40, 782,327,925.60 and 521,551,950.40

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Solution

The fourth proportional to 521,551,950.40, 782,327,925.60 and 521,551,950.40 is: 782,327,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,551,950.40 : 782,327,925.60 = 521,551,950.40 : x
  2. Step 2: Convert to fraction form
    521,551,950.40/782,327,925.60 = 521,551,950.40/x
  3. Step 3: Cross multiply
    521,551,950.40x = 782,327,925.60 × 521,551,950.40
  4. Step 4: Simplify right side
    521,551,950.40x = 408,024,655,449,066,112
  5. Step 5: Solve for x
    x = 408,024,655,449,066,112/521,551,950.40
  6. Step 6: Final answer
    x = 782,327,925.60

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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.