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Finding the Fourth Proportional to 661,762,408.40, 992,643,612.60 and 177,088,216.40

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Solution

The fourth proportional to 661,762,408.40, 992,643,612.60 and 177,088,216.40 is: 265,632,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,762,408.40 : 992,643,612.60 = 177,088,216.40 : x
  2. Step 2: Convert to fraction form
    661,762,408.40/992,643,612.60 = 177,088,216.40/x
  3. Step 3: Cross multiply
    661,762,408.40x = 992,643,612.60 × 177,088,216.40
  4. Step 4: Simplify right side
    661,762,408.40x = 175,785,486,876,186,592
  5. Step 5: Solve for x
    x = 175,785,486,876,186,592/661,762,408.40
  6. Step 6: Final answer
    x = 265,632,324.60

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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.