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Finding the Fourth Proportional to 314,928,762.90, 472,897,029.15 and 213,144,033.30

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Solution

The fourth proportional to 314,928,762.90, 472,897,029.15 and 213,144,033.30 is: 320,057,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,762.90 : 472,897,029.15 = 213,144,033.30 : x
  2. Step 2: Convert to fraction form
    314,928,762.90/472,897,029.15 = 213,144,033.30/x
  3. Step 3: Cross multiply
    314,928,762.90x = 472,897,029.15 × 213,144,033.30
  4. Step 4: Simplify right side
    314,928,762.90x = 100,795,180,128,618,672
  5. Step 5: Solve for x
    x = 100,795,180,128,618,672/314,928,762.90
  6. Step 6: Final answer
    x = 320,057,079.58

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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.