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Finding the Fourth Proportional to 16,111,535,703.20, 24,167,303,554.80 and 16,111,535,703.20

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Solution

The fourth proportional to 16,111,535,703.20, 24,167,303,554.80 and 16,111,535,703.20 is: 24,167,303,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111,535,703.20 : 24,167,303,554.80 = 16,111,535,703.20 : x
  2. Step 2: Convert to fraction form
    16,111,535,703.20/24,167,303,554.80 = 16,111,535,703.20/x
  3. Step 3: Cross multiply
    16,111,535,703.20x = 24,167,303,554.80 × 16,111,535,703.20
  4. Step 4: Simplify right side
    16,111,535,703.20x = 389,372,374,073,232,457,728
  5. Step 5: Solve for x
    x = 389,372,374,073,232,457,728/16,111,535,703.20
  6. Step 6: Final answer
    x = 24,167,303,554.80

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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.