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Finding the Fourth Proportional to 814,551,430,697.90, 1,221,827,146,046.90 and 814,551,430,697.90

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Solution

The fourth proportional to 814,551,430,697.90, 1,221,827,146,046.90 and 814,551,430,697.90 is: 1,221,827,146,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,551,430,697.90 : 1,221,827,146,046.90 = 814,551,430,697.90 : x
  2. Step 2: Convert to fraction form
    814,551,430,697.90/1,221,827,146,046.90 = 814,551,430,697.90/x
  3. Step 3: Cross multiply
    814,551,430,697.90x = 1,221,827,146,046.90 × 814,551,430,697.90
  4. Step 4: Simplify right side
    814,551,430,697.90x = 995,241,049,878,034,408,013,824
  5. Step 5: Solve for x
    x = 995,241,049,878,034,408,013,824/814,551,430,697.90
  6. Step 6: Final answer
    x = 1,221,827,146,046.90

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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.