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Finding the Fourth Proportional to 12,398,103,699.18, 18,597,155,548.76 and 12,398,103,699.18

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Solution

The fourth proportional to 12,398,103,699.18, 18,597,155,548.76 and 12,398,103,699.18 is: 18,597,155,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398,103,699.18 : 18,597,155,548.76 = 12,398,103,699.18 : x
  2. Step 2: Convert to fraction form
    12,398,103,699.18/18,597,155,548.76 = 12,398,103,699.18/x
  3. Step 3: Cross multiply
    12,398,103,699.18x = 18,597,155,548.76 × 12,398,103,699.18
  4. Step 4: Simplify right side
    12,398,103,699.18x = 230,569,463,003,307,212,800
  5. Step 5: Solve for x
    x = 230,569,463,003,307,212,800/12,398,103,699.18
  6. Step 6: Final answer
    x = 18,597,155,548.76

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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.