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Finding the Fourth Proportional to 3,930,088,894,974.50, 5,895,133,342,461.80 and 3,930,088,894,974.50

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Solution

The fourth proportional to 3,930,088,894,974.50, 5,895,133,342,461.80 and 3,930,088,894,974.50 is: 5,895,133,342,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930,088,894,974.50 : 5,895,133,342,461.80 = 3,930,088,894,974.50 : x
  2. Step 2: Convert to fraction form
    3,930,088,894,974.50/5,895,133,342,461.80 = 3,930,088,894,974.50/x
  3. Step 3: Cross multiply
    3,930,088,894,974.50x = 5,895,133,342,461.80 × 3,930,088,894,974.50
  4. Step 4: Simplify right side
    3,930,088,894,974.50x = 23,168,398,083,603,025,323,098,112
  5. Step 5: Solve for x
    x = 23,168,398,083,603,025,323,098,112/3,930,088,894,974.50
  6. Step 6: Final answer
    x = 5,895,133,342,461.80

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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.