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Finding the Fourth Proportional to 442,692,707.60, 664,039,061.40 and 136,000,074.80

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Solution

The fourth proportional to 442,692,707.60, 664,039,061.40 and 136,000,074.80 is: 204,000,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,692,707.60 : 664,039,061.40 = 136,000,074.80 : x
  2. Step 2: Convert to fraction form
    442,692,707.60/664,039,061.40 = 136,000,074.80/x
  3. Step 3: Cross multiply
    442,692,707.60x = 664,039,061.40 × 136,000,074.80
  4. Step 4: Simplify right side
    442,692,707.60x = 90,309,362,020,521,792
  5. Step 5: Solve for x
    x = 90,309,362,020,521,792/442,692,707.60
  6. Step 6: Final answer
    x = 204,000,112.20

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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.