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Finding the Fourth Proportional to 11,201,559,368.40, 16,802,339,052.60 and 11,201,559,368.40

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Solution

The fourth proportional to 11,201,559,368.40, 16,802,339,052.60 and 11,201,559,368.40 is: 16,802,339,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201,559,368.40 : 16,802,339,052.60 = 11,201,559,368.40 : x
  2. Step 2: Convert to fraction form
    11,201,559,368.40/16,802,339,052.60 = 11,201,559,368.40/x
  3. Step 3: Cross multiply
    11,201,559,368.40x = 16,802,339,052.60 × 11,201,559,368.40
  4. Step 4: Simplify right side
    11,201,559,368.40x = 188,212,398,425,684,705,280
  5. Step 5: Solve for x
    x = 188,212,398,425,684,705,280/11,201,559,368.40
  6. Step 6: Final answer
    x = 16,802,339,052.60

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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.