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Finding the Fourth Proportional to 99,084,247,200.45, 148,626,370,800.67 and 99,084,247,200.45

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Solution

The fourth proportional to 99,084,247,200.45, 148,626,370,800.67 and 99,084,247,200.45 is: 148,626,370,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084,247,200.45 : 148,626,370,800.67 = 99,084,247,200.45 : x
  2. Step 2: Convert to fraction form
    99,084,247,200.45/148,626,370,800.67 = 99,084,247,200.45/x
  3. Step 3: Cross multiply
    99,084,247,200.45x = 148,626,370,800.67 × 99,084,247,200.45
  4. Step 4: Simplify right side
    99,084,247,200.45x = 14,726,532,064,919,330,750,464
  5. Step 5: Solve for x
    x = 14,726,532,064,919,330,750,464/99,084,247,200.45
  6. Step 6: Final answer
    x = 148,626,370,800.67

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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.