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Finding the Fourth Proportional to 102,724,848,000.67, 154,087,272,001.01 and 102,724,848,000.67

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Solution

The fourth proportional to 102,724,848,000.67, 154,087,272,001.01 and 102,724,848,000.67 is: 154,087,272,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,724,848,000.67 : 154,087,272,001.01 = 102,724,848,000.67 : x
  2. Step 2: Convert to fraction form
    102,724,848,000.67/154,087,272,001.01 = 102,724,848,000.67/x
  3. Step 3: Cross multiply
    102,724,848,000.67x = 154,087,272,001.01 × 102,724,848,000.67
  4. Step 4: Simplify right side
    102,724,848,000.67x = 15,828,591,595,141,646,516,224
  5. Step 5: Solve for x
    x = 15,828,591,595,141,646,516,224/102,724,848,000.67
  6. Step 6: Final answer
    x = 154,087,272,001.01

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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.