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Finding the Fourth Proportional to 12,097,409,582.30, 18,146,114,373.45 and 12,097,409,582.30

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Solution

The fourth proportional to 12,097,409,582.30, 18,146,114,373.45 and 12,097,409,582.30 is: 18,146,114,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097,409,582.30 : 18,146,114,373.45 = 12,097,409,582.30 : x
  2. Step 2: Convert to fraction form
    12,097,409,582.30/18,146,114,373.45 = 12,097,409,582.30/x
  3. Step 3: Cross multiply
    12,097,409,582.30x = 18,146,114,373.45 × 12,097,409,582.30
  4. Step 4: Simplify right side
    12,097,409,582.30x = 219,520,977,902,885,797,888
  5. Step 5: Solve for x
    x = 219,520,977,902,885,797,888/12,097,409,582.30
  6. Step 6: Final answer
    x = 18,146,114,373.45

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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.