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Finding the Fourth Proportional to 12,357,029,462.05, 18,535,544,193.08 and 12,357,029,462.05

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Solution

The fourth proportional to 12,357,029,462.05, 18,535,544,193.08 and 12,357,029,462.05 is: 18,535,544,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357,029,462.05 : 18,535,544,193.08 = 12,357,029,462.05 : x
  2. Step 2: Convert to fraction form
    12,357,029,462.05/18,535,544,193.08 = 12,357,029,462.05/x
  3. Step 3: Cross multiply
    12,357,029,462.05x = 18,535,544,193.08 × 12,357,029,462.05
  4. Step 4: Simplify right side
    12,357,029,462.05x = 229,044,265,689,019,351,040
  5. Step 5: Solve for x
    x = 229,044,265,689,019,351,040/12,357,029,462.05
  6. Step 6: Final answer
    x = 18,535,544,193.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.