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Finding the Fourth Proportional to 338,258,580.30, 472,541,645.70 and 338,258,580.30

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Solution

The fourth proportional to 338,258,580.30, 472,541,645.70 and 338,258,580.30 is: 472,541,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,258,580.30 : 472,541,645.70 = 338,258,580.30 : x
  2. Step 2: Convert to fraction form
    338,258,580.30/472,541,645.70 = 338,258,580.30/x
  3. Step 3: Cross multiply
    338,258,580.30x = 472,541,645.70 × 338,258,580.30
  4. Step 4: Simplify right side
    338,258,580.30x = 159,841,266,207,107,616
  5. Step 5: Solve for x
    x = 159,841,266,207,107,616/338,258,580.30
  6. Step 6: Final answer
    x = 472,541,645.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.