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Finding the Fourth Proportional to 258,692,802.80, 388,039,204.20 and 177,063,465.20

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Solution

The fourth proportional to 258,692,802.80, 388,039,204.20 and 177,063,465.20 is: 265,595,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,692,802.80 : 388,039,204.20 = 177,063,465.20 : x
  2. Step 2: Convert to fraction form
    258,692,802.80/388,039,204.20 = 177,063,465.20/x
  3. Step 3: Cross multiply
    258,692,802.80x = 388,039,204.20 × 177,063,465.20
  4. Step 4: Simplify right side
    258,692,802.80x = 68,707,566,129,102,384
  5. Step 5: Solve for x
    x = 68,707,566,129,102,384/258,692,802.80
  6. Step 6: Final answer
    x = 265,595,197.80

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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.