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Finding the Fourth Proportional to 102,151,448,999.70, 153,227,173,499.55 and 102,151,448,999.70

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Solution

The fourth proportional to 102,151,448,999.70, 153,227,173,499.55 and 102,151,448,999.70 is: 153,227,173,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151,448,999.70 : 153,227,173,499.55 = 102,151,448,999.70 : x
  2. Step 2: Convert to fraction form
    102,151,448,999.70/153,227,173,499.55 = 102,151,448,999.70/x
  3. Step 3: Cross multiply
    102,151,448,999.70x = 153,227,173,499.55 × 102,151,448,999.70
  4. Step 4: Simplify right side
    102,151,448,999.70x = 15,652,377,799,107,463,348,224
  5. Step 5: Solve for x
    x = 15,652,377,799,107,463,348,224/102,151,448,999.70
  6. Step 6: Final answer
    x = 153,227,173,499.55

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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.