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Finding the Fourth Proportional to 99,012,964,961.70, 148,519,447,442.55 and 99,012,964,961.70

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Solution

The fourth proportional to 99,012,964,961.70, 148,519,447,442.55 and 99,012,964,961.70 is: 148,519,447,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,012,964,961.70 : 148,519,447,442.55 = 99,012,964,961.70 : x
  2. Step 2: Convert to fraction form
    99,012,964,961.70/148,519,447,442.55 = 99,012,964,961.70/x
  3. Step 3: Cross multiply
    99,012,964,961.70x = 148,519,447,442.55 × 99,012,964,961.70
  4. Step 4: Simplify right side
    99,012,964,961.70x = 14,705,350,845,760,247,169,024
  5. Step 5: Solve for x
    x = 14,705,350,845,760,247,169,024/99,012,964,961.70
  6. Step 6: Final answer
    x = 148,519,447,442.55

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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.