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Finding the Fourth Proportional to 148,435,164,018.35, 222,652,746,027.52 and 148,435,164,018.35

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Solution

The fourth proportional to 148,435,164,018.35, 222,652,746,027.52 and 148,435,164,018.35 is: 222,652,746,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,435,164,018.35 : 222,652,746,027.52 = 148,435,164,018.35 : x
  2. Step 2: Convert to fraction form
    148,435,164,018.35/222,652,746,027.52 = 148,435,164,018.35/x
  3. Step 3: Cross multiply
    148,435,164,018.35x = 222,652,746,027.52 × 148,435,164,018.35
  4. Step 4: Simplify right side
    148,435,164,018.35x = 33,049,496,875,730,957,500,416
  5. Step 5: Solve for x
    x = 33,049,496,875,730,957,500,416/148,435,164,018.35
  6. Step 6: Final answer
    x = 222,652,746,027.52

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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.