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Finding the Fourth Proportional to 52,415,696,481.70, 78,623,544,722.55 and 52,415,696,481.70

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Solution

The fourth proportional to 52,415,696,481.70, 78,623,544,722.55 and 52,415,696,481.70 is: 78,623,544,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,415,696,481.70 : 78,623,544,722.55 = 52,415,696,481.70 : x
  2. Step 2: Convert to fraction form
    52,415,696,481.70/78,623,544,722.55 = 52,415,696,481.70/x
  3. Step 3: Cross multiply
    52,415,696,481.70x = 78,623,544,722.55 × 52,415,696,481.70
  4. Step 4: Simplify right side
    52,415,696,481.70x = 4,121,107,856,492,546,490,368
  5. Step 5: Solve for x
    x = 4,121,107,856,492,546,490,368/52,415,696,481.70
  6. Step 6: Final answer
    x = 78,623,544,722.55

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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.