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Finding the Fourth Proportional to 47,385,614, 71,078,421 and 11,483,822

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Solution

The fourth proportional to 47,385,614, 71,078,421 and 11,483,822 is: 17,225,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,385,614 : 71,078,421 = 11,483,822 : x
  2. Step 2: Convert to fraction form
    47,385,614/71,078,421 = 11,483,822/x
  3. Step 3: Cross multiply
    47,385,614x = 71,078,421 × 11,483,822
  4. Step 4: Simplify right side
    47,385,614x = 816,251,934,805,062
  5. Step 5: Solve for x
    x = 816,251,934,805,062/47,385,614
  6. Step 6: Final answer
    x = 17,225,733

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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.