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Finding the Fourth Proportional to 260,678,342.88, 359,696,162.88 and 150,648,824.16

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Solution

The fourth proportional to 260,678,342.88, 359,696,162.88 and 150,648,824.16 is: 207,872,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,678,342.88 : 359,696,162.88 = 150,648,824.16 : x
  2. Step 2: Convert to fraction form
    260,678,342.88/359,696,162.88 = 150,648,824.16/x
  3. Step 3: Cross multiply
    260,678,342.88x = 359,696,162.88 × 150,648,824.16
  4. Step 4: Simplify right side
    260,678,342.88x = 54,187,803,992,735,840
  5. Step 5: Solve for x
    x = 54,187,803,992,735,840/260,678,342.88
  6. Step 6: Final answer
    x = 207,872,289.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.