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Finding the Fourth Proportional to 148,435,164,036.60, 222,652,746,054.90 and 148,435,164,036.60

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Solution

The fourth proportional to 148,435,164,036.60, 222,652,746,054.90 and 148,435,164,036.60 is: 222,652,746,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,435,164,036.60 : 222,652,746,054.90 = 148,435,164,036.60 : x
  2. Step 2: Convert to fraction form
    148,435,164,036.60/222,652,746,054.90 = 148,435,164,036.60/x
  3. Step 3: Cross multiply
    148,435,164,036.60x = 222,652,746,054.90 × 148,435,164,036.60
  4. Step 4: Simplify right side
    148,435,164,036.60x = 33,049,496,883,858,524,602,368
  5. Step 5: Solve for x
    x = 33,049,496,883,858,524,602,368/148,435,164,036.60
  6. Step 6: Final answer
    x = 222,652,746,054.90

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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.