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Finding the Fourth Proportional to 335,885,475,672.60, 503,828,213,508.90 and 335,885,475,672.60

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Solution

The fourth proportional to 335,885,475,672.60, 503,828,213,508.90 and 335,885,475,672.60 is: 503,828,213,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,885,475,672.60 : 503,828,213,508.90 = 335,885,475,672.60 : x
  2. Step 2: Convert to fraction form
    335,885,475,672.60/503,828,213,508.90 = 335,885,475,672.60/x
  3. Step 3: Cross multiply
    335,885,475,672.60x = 503,828,213,508.90 × 335,885,475,672.60
  4. Step 4: Simplify right side
    335,885,475,672.60x = 169,228,579,151,713,149,124,608
  5. Step 5: Solve for x
    x = 169,228,579,151,713,149,124,608/335,885,475,672.60
  6. Step 6: Final answer
    x = 503,828,213,508.90

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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.