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Finding the Fourth Proportional to 100,803,563,111.70, 151,205,344,667.55 and 100,803,563,111.70

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Solution

The fourth proportional to 100,803,563,111.70, 151,205,344,667.55 and 100,803,563,111.70 is: 151,205,344,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,803,563,111.70 : 151,205,344,667.55 = 100,803,563,111.70 : x
  2. Step 2: Convert to fraction form
    100,803,563,111.70/151,205,344,667.55 = 100,803,563,111.70/x
  3. Step 3: Cross multiply
    100,803,563,111.70x = 151,205,344,667.55 × 100,803,563,111.70
  4. Step 4: Simplify right side
    100,803,563,111.70x = 15,242,037,504,021,725,446,144
  5. Step 5: Solve for x
    x = 15,242,037,504,021,725,446,144/100,803,563,111.70
  6. Step 6: Final answer
    x = 151,205,344,667.55

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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.