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Finding the Fourth Proportional to 101,731,334,624.45, 152,597,001,936.67 and 101,731,334,624.45

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Solution

The fourth proportional to 101,731,334,624.45, 152,597,001,936.67 and 101,731,334,624.45 is: 152,597,001,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,731,334,624.45 : 152,597,001,936.67 = 101,731,334,624.45 : x
  2. Step 2: Convert to fraction form
    101,731,334,624.45/152,597,001,936.67 = 101,731,334,624.45/x
  3. Step 3: Cross multiply
    101,731,334,624.45x = 152,597,001,936.67 × 101,731,334,624.45
  4. Step 4: Simplify right side
    101,731,334,624.45x = 15,523,896,666,707,221,020,672
  5. Step 5: Solve for x
    x = 15,523,896,666,707,221,020,672/101,731,334,624.45
  6. Step 6: Final answer
    x = 152,597,001,936.67

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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.