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Finding the Fourth Proportional to 98,296,902,022.70, 147,445,353,035.40 and 98,296,902,022.70

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Solution

The fourth proportional to 98,296,902,022.70, 147,445,353,035.40 and 98,296,902,022.70 is: 147,445,353,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,296,902,022.70 : 147,445,353,035.40 = 98,296,902,022.70 : x
  2. Step 2: Convert to fraction form
    98,296,902,022.70/147,445,353,035.40 = 98,296,902,022.70/x
  3. Step 3: Cross multiply
    98,296,902,022.70x = 147,445,353,035.40 × 98,296,902,022.70
  4. Step 4: Simplify right side
    98,296,902,022.70x = 14,493,421,421,023,125,831,680
  5. Step 5: Solve for x
    x = 14,493,421,421,023,125,831,680/98,296,902,022.70
  6. Step 6: Final answer
    x = 147,445,353,035.40

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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.