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Finding the Fourth Proportional to 382,625,615.70, 573,938,423.55 and 164,238,794.10

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Solution

The fourth proportional to 382,625,615.70, 573,938,423.55 and 164,238,794.10 is: 246,358,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,625,615.70 : 573,938,423.55 = 164,238,794.10 : x
  2. Step 2: Convert to fraction form
    382,625,615.70/573,938,423.55 = 164,238,794.10/x
  3. Step 3: Cross multiply
    382,625,615.70x = 573,938,423.55 × 164,238,794.10
  4. Step 4: Simplify right side
    382,625,615.70x = 94,262,954,571,507,024
  5. Step 5: Solve for x
    x = 94,262,954,571,507,024/382,625,615.70
  6. Step 6: Final answer
    x = 246,358,191.15

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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.