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Finding the Fourth Proportional to 97,503,102,003.90, 146,254,653,005.85 and 97,503,102,003.90

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Solution

The fourth proportional to 97,503,102,003.90, 146,254,653,005.85 and 97,503,102,003.90 is: 146,254,653,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,503,102,003.90 : 146,254,653,005.85 = 97,503,102,003.90 : x
  2. Step 2: Convert to fraction form
    97,503,102,003.90/146,254,653,005.85 = 97,503,102,003.90/x
  3. Step 3: Cross multiply
    97,503,102,003.90x = 146,254,653,005.85 × 97,503,102,003.90
  4. Step 4: Simplify right side
    97,503,102,003.90x = 14,260,282,350,574,392,836,096
  5. Step 5: Solve for x
    x = 14,260,282,350,574,392,836,096/97,503,102,003.90
  6. Step 6: Final answer
    x = 146,254,653,005.85

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1.5x scale

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.