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Finding the Fourth Proportional to 97,339,929,537.15, 146,009,894,305.72 and 97,339,929,537.15

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Solution

The fourth proportional to 97,339,929,537.15, 146,009,894,305.72 and 97,339,929,537.15 is: 146,009,894,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,339,929,537.15 : 146,009,894,305.72 = 97,339,929,537.15 : x
  2. Step 2: Convert to fraction form
    97,339,929,537.15/146,009,894,305.72 = 97,339,929,537.15/x
  3. Step 3: Cross multiply
    97,339,929,537.15x = 146,009,894,305.72 × 97,339,929,537.15
  4. Step 4: Simplify right side
    97,339,929,537.15x = 14,212,592,823,445,502,296,064
  5. Step 5: Solve for x
    x = 14,212,592,823,445,502,296,064/97,339,929,537.15
  6. Step 6: Final answer
    x = 146,009,894,305.72

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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.