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Finding the Fourth Proportional to 618,302,283.90, 927,453,425.85 and 209,358,434.40

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Solution

The fourth proportional to 618,302,283.90, 927,453,425.85 and 209,358,434.40 is: 314,037,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,302,283.90 : 927,453,425.85 = 209,358,434.40 : x
  2. Step 2: Convert to fraction form
    618,302,283.90/927,453,425.85 = 209,358,434.40/x
  3. Step 3: Cross multiply
    618,302,283.90x = 927,453,425.85 × 209,358,434.40
  4. Step 4: Simplify right side
    618,302,283.90x = 194,170,197,214,872,512
  5. Step 5: Solve for x
    x = 194,170,197,214,872,512/618,302,283.90
  6. Step 6: Final answer
    x = 314,037,651.60

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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.