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Finding the Fourth Proportional to 565,507,833.78, 780,407,992.50 and 311,218,468.22

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Solution

The fourth proportional to 565,507,833.78, 780,407,992.50 and 311,218,468.22 is: 429,485,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,507,833.78 : 780,407,992.50 = 311,218,468.22 : x
  2. Step 2: Convert to fraction form
    565,507,833.78/780,407,992.50 = 311,218,468.22/x
  3. Step 3: Cross multiply
    565,507,833.78x = 780,407,992.50 × 311,218,468.22
  4. Step 4: Simplify right side
    565,507,833.78x = 242,877,380,012,495,264
  5. Step 5: Solve for x
    x = 242,877,380,012,495,264/565,507,833.78
  6. Step 6: Final answer
    x = 429,485,438.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.