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Finding the Fourth Proportional to 96,090,651,903.20, 144,135,977,854.80 and 96,090,651,903.20

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Solution

The fourth proportional to 96,090,651,903.20, 144,135,977,854.80 and 96,090,651,903.20 is: 144,135,977,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,090,651,903.20 : 144,135,977,854.80 = 96,090,651,903.20 : x
  2. Step 2: Convert to fraction form
    96,090,651,903.20/144,135,977,854.80 = 96,090,651,903.20/x
  3. Step 3: Cross multiply
    96,090,651,903.20x = 144,135,977,854.80 × 96,090,651,903.20
  4. Step 4: Simplify right side
    96,090,651,903.20x = 13,850,120,074,772,929,839,104
  5. Step 5: Solve for x
    x = 13,850,120,074,772,929,839,104/96,090,651,903.20
  6. Step 6: Final answer
    x = 144,135,977,854.80

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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.