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Finding the Fourth Proportional to 49,829,809.20, 74,744,713.80 and 49,829,809.20

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Solution

The fourth proportional to 49,829,809.20, 74,744,713.80 and 49,829,809.20 is: 74,744,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,829,809.20 : 74,744,713.80 = 49,829,809.20 : x
  2. Step 2: Convert to fraction form
    49,829,809.20/74,744,713.80 = 49,829,809.20/x
  3. Step 3: Cross multiply
    49,829,809.20x = 74,744,713.80 × 49,829,809.20
  4. Step 4: Simplify right side
    49,829,809.20x = 3,724,514,827,362,607
  5. Step 5: Solve for x
    x = 3,724,514,827,362,607/49,829,809.20
  6. Step 6: Final answer
    x = 74,744,713.80

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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.