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Finding the Fourth Proportional to 653,934,456,003.45, 980,901,684,005.20 and 653,934,456,003.45

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Solution

The fourth proportional to 653,934,456,003.45, 980,901,684,005.20 and 653,934,456,003.45 is: 980,901,684,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,934,456,003.45 : 980,901,684,005.20 = 653,934,456,003.45 : x
  2. Step 2: Convert to fraction form
    653,934,456,003.45/980,901,684,005.20 = 653,934,456,003.45/x
  3. Step 3: Cross multiply
    653,934,456,003.45x = 980,901,684,005.20 × 653,934,456,003.45
  4. Step 4: Simplify right side
    653,934,456,003.45x = 641,445,409,122,808,405,950,464
  5. Step 5: Solve for x
    x = 641,445,409,122,808,405,950,464/653,934,456,003.45
  6. Step 6: Final answer
    x = 980,901,684,005.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.