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Finding the Fourth Proportional to 287,713,847.70, 431,570,771.55 and 287,713,847.70

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Solution

The fourth proportional to 287,713,847.70, 431,570,771.55 and 287,713,847.70 is: 431,570,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,713,847.70 : 431,570,771.55 = 287,713,847.70 : x
  2. Step 2: Convert to fraction form
    287,713,847.70/431,570,771.55 = 287,713,847.70/x
  3. Step 3: Cross multiply
    287,713,847.70x = 431,570,771.55 × 287,713,847.70
  4. Step 4: Simplify right side
    287,713,847.70x = 124,168,887,237,508,192
  5. Step 5: Solve for x
    x = 124,168,887,237,508,192/287,713,847.70
  6. Step 6: Final answer
    x = 431,570,771.55

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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.