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Finding the Fourth Proportional to 19,852,809.60, 29,716,228.80 and 19,852,809.60

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Solution

The fourth proportional to 19,852,809.60, 29,716,228.80 and 19,852,809.60 is: 29,716,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852,809.60 : 29,716,228.80 = 19,852,809.60 : x
  2. Step 2: Convert to fraction form
    19,852,809.60/29,716,228.80 = 19,852,809.60/x
  3. Step 3: Cross multiply
    19,852,809.60x = 29,716,228.80 × 19,852,809.60
  4. Step 4: Simplify right side
    19,852,809.60x = 589,950,632,396,436.50
  5. Step 5: Solve for x
    x = 589,950,632,396,436.50/19,852,809.60
  6. Step 6: Final answer
    x = 29,716,228.80

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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.