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Finding the Fourth Proportional to 551,635,758,037.45, 827,453,637,056.17 and 551,635,758,037.45

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Solution

The fourth proportional to 551,635,758,037.45, 827,453,637,056.17 and 551,635,758,037.45 is: 827,453,637,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,635,758,037.45 : 827,453,637,056.17 = 551,635,758,037.45 : x
  2. Step 2: Convert to fraction form
    551,635,758,037.45/827,453,637,056.17 = 551,635,758,037.45/x
  3. Step 3: Cross multiply
    551,635,758,037.45x = 827,453,637,056.17 × 551,635,758,037.45
  4. Step 4: Simplify right side
    551,635,758,037.45x = 456,453,014,318,325,329,559,552
  5. Step 5: Solve for x
    x = 456,453,014,318,325,329,559,552/551,635,758,037.45
  6. Step 6: Final answer
    x = 827,453,637,056.17

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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.