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Finding the Fourth Proportional to 64,924,375,512.30, 97,386,563,268.45 and 64,924,375,512.30

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Solution

The fourth proportional to 64,924,375,512.30, 97,386,563,268.45 and 64,924,375,512.30 is: 97,386,563,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,924,375,512.30 : 97,386,563,268.45 = 64,924,375,512.30 : x
  2. Step 2: Convert to fraction form
    64,924,375,512.30/97,386,563,268.45 = 64,924,375,512.30/x
  3. Step 3: Cross multiply
    64,924,375,512.30x = 97,386,563,268.45 × 64,924,375,512.30
  4. Step 4: Simplify right side
    64,924,375,512.30x = 6,322,761,803,493,209,538,560
  5. Step 5: Solve for x
    x = 6,322,761,803,493,209,538,560/64,924,375,512.30
  6. Step 6: Final answer
    x = 97,386,563,268.45

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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.