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Finding the Fourth Proportional to 97,476,777,546.40, 145,982,714,026.20 and 97,476,777,546.40

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Solution

The fourth proportional to 97,476,777,546.40, 145,982,714,026.20 and 97,476,777,546.40 is: 145,982,714,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,476,777,546.40 : 145,982,714,026.20 = 97,476,777,546.40 : x
  2. Step 2: Convert to fraction form
    97,476,777,546.40/145,982,714,026.20 = 97,476,777,546.40/x
  3. Step 3: Cross multiply
    97,476,777,546.40x = 145,982,714,026.20 × 97,476,777,546.40
  4. Step 4: Simplify right side
    97,476,777,546.40x = 14,229,924,540,751,624,011,776
  5. Step 5: Solve for x
    x = 14,229,924,540,751,624,011,776/97,476,777,546.40
  6. Step 6: Final answer
    x = 145,982,714,026.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.