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Finding the Fourth Proportional to 105,884,824.20, 147,936,423 and 105,884,824.20

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Solution

The fourth proportional to 105,884,824.20, 147,936,423 and 105,884,824.20 is: 147,936,423

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,884,824.20 : 147,936,423 = 105,884,824.20 : x
  2. Step 2: Convert to fraction form
    105,884,824.20/147,936,423 = 105,884,824.20/x
  3. Step 3: Cross multiply
    105,884,824.20x = 147,936,423 × 105,884,824.20
  4. Step 4: Simplify right side
    105,884,824.20x = 15,664,222,142,131,838
  5. Step 5: Solve for x
    x = 15,664,222,142,131,838/105,884,824.20
  6. Step 6: Final answer
    x = 147,936,423

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.