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Finding the Fourth Proportional to 64,893,286,364.60, 97,339,929,546.90 and 64,893,286,364.60

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Solution

The fourth proportional to 64,893,286,364.60, 97,339,929,546.90 and 64,893,286,364.60 is: 97,339,929,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,893,286,364.60 : 97,339,929,546.90 = 64,893,286,364.60 : x
  2. Step 2: Convert to fraction form
    64,893,286,364.60/97,339,929,546.90 = 64,893,286,364.60/x
  3. Step 3: Cross multiply
    64,893,286,364.60x = 97,339,929,546.90 × 64,893,286,364.60
  4. Step 4: Simplify right side
    64,893,286,364.60x = 6,316,707,922,796,970,246,144
  5. Step 5: Solve for x
    x = 6,316,707,922,796,970,246,144/64,893,286,364.60
  6. Step 6: Final answer
    x = 97,339,929,546.90

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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.