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Finding the Fourth Proportional to 274,302,288,973.72, 411,453,433,460.60 and 274,302,288,973.72

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Solution

The fourth proportional to 274,302,288,973.72, 411,453,433,460.60 and 274,302,288,973.72 is: 411,453,433,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,302,288,973.72 : 411,453,433,460.60 = 274,302,288,973.72 : x
  2. Step 2: Convert to fraction form
    274,302,288,973.72/411,453,433,460.60 = 274,302,288,973.72/x
  3. Step 3: Cross multiply
    274,302,288,973.72x = 411,453,433,460.60 × 274,302,288,973.72
  4. Step 4: Simplify right side
    274,302,288,973.72x = 112,862,618,604,338,776,375,296
  5. Step 5: Solve for x
    x = 112,862,618,604,338,776,375,296/274,302,288,973.72
  6. Step 6: Final answer
    x = 411,453,433,460.60

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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.