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Finding the Fourth Proportional to 97,339,929,538.15, 146,009,894,307.22 and 97,339,929,538.15

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Solution

The fourth proportional to 97,339,929,538.15, 146,009,894,307.22 and 97,339,929,538.15 is: 146,009,894,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,339,929,538.15 : 146,009,894,307.22 = 97,339,929,538.15 : x
  2. Step 2: Convert to fraction form
    97,339,929,538.15/146,009,894,307.22 = 97,339,929,538.15/x
  3. Step 3: Cross multiply
    97,339,929,538.15x = 146,009,894,307.22 × 97,339,929,538.15
  4. Step 4: Simplify right side
    97,339,929,538.15x = 14,212,592,823,737,522,323,456
  5. Step 5: Solve for x
    x = 14,212,592,823,737,522,323,456/97,339,929,538.15
  6. Step 6: Final answer
    x = 146,009,894,307.22

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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.