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Finding the Fourth Proportional to 368,510,097,818.70, 552,765,146,728.06 and 368,510,097,818.70

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Solution

The fourth proportional to 368,510,097,818.70, 552,765,146,728.06 and 368,510,097,818.70 is: 552,765,146,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,510,097,818.70 : 552,765,146,728.06 = 368,510,097,818.70 : x
  2. Step 2: Convert to fraction form
    368,510,097,818.70/552,765,146,728.06 = 368,510,097,818.70/x
  3. Step 3: Cross multiply
    368,510,097,818.70x = 552,765,146,728.06 × 368,510,097,818.70
  4. Step 4: Simplify right side
    368,510,097,818.70x = 203,699,538,291,525,467,242,496
  5. Step 5: Solve for x
    x = 203,699,538,291,525,467,242,496/368,510,097,818.70
  6. Step 6: Final answer
    x = 552,765,146,728.06

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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.