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Finding the Fourth Proportional to 22,137,725,828.40, 33,206,588,742.60 and 22,137,725,828.40

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Solution

The fourth proportional to 22,137,725,828.40, 33,206,588,742.60 and 22,137,725,828.40 is: 33,206,588,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,137,725,828.40 : 33,206,588,742.60 = 22,137,725,828.40 : x
  2. Step 2: Convert to fraction form
    22,137,725,828.40/33,206,588,742.60 = 22,137,725,828.40/x
  3. Step 3: Cross multiply
    22,137,725,828.40x = 33,206,588,742.60 × 22,137,725,828.40
  4. Step 4: Simplify right side
    22,137,725,828.40x = 735,118,357,280,112,771,072
  5. Step 5: Solve for x
    x = 735,118,357,280,112,771,072/22,137,725,828.40
  6. Step 6: Final answer
    x = 33,206,588,742.60

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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.