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Finding the Fourth Proportional to 76,611,456,960.40, 114,917,185,440.60 and 76,611,456,960.40

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Solution

The fourth proportional to 76,611,456,960.40, 114,917,185,440.60 and 76,611,456,960.40 is: 114,917,185,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,611,456,960.40 : 114,917,185,440.60 = 76,611,456,960.40 : x
  2. Step 2: Convert to fraction form
    76,611,456,960.40/114,917,185,440.60 = 76,611,456,960.40/x
  3. Step 3: Cross multiply
    76,611,456,960.40x = 114,917,185,440.60 × 76,611,456,960.40
  4. Step 4: Simplify right side
    76,611,456,960.40x = 8,803,973,006,392,832,294,912
  5. Step 5: Solve for x
    x = 8,803,973,006,392,832,294,912/76,611,456,960.40
  6. Step 6: Final answer
    x = 114,917,185,440.60

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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.