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Finding the Fourth Proportional to 576,294,984.90, 795,286,905.66 and 311,976,784.44

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Solution

The fourth proportional to 576,294,984.90, 795,286,905.66 and 311,976,784.44 is: 430,527,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,294,984.90 : 795,286,905.66 = 311,976,784.44 : x
  2. Step 2: Convert to fraction form
    576,294,984.90/795,286,905.66 = 311,976,784.44/x
  3. Step 3: Cross multiply
    576,294,984.90x = 795,286,905.66 × 311,976,784.44
  4. Step 4: Simplify right side
    576,294,984.90x = 248,111,051,535,044,416
  5. Step 5: Solve for x
    x = 248,111,051,535,044,416/576,294,984.90
  6. Step 6: Final answer
    x = 430,527,868.60

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Why These Related Problems?

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