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Finding the Fourth Proportional to 4,511,279,232,330.30, 6,766,918,848,495.40 and 4,511,279,232,330.30

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Solution

The fourth proportional to 4,511,279,232,330.30, 6,766,918,848,495.40 and 4,511,279,232,330.30 is: 6,766,918,848,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,279,232,330.30 : 6,766,918,848,495.40 = 4,511,279,232,330.30 : x
  2. Step 2: Convert to fraction form
    4,511,279,232,330.30/6,766,918,848,495.40 = 4,511,279,232,330.30/x
  3. Step 3: Cross multiply
    4,511,279,232,330.30x = 6,766,918,848,495.40 × 4,511,279,232,330.30
  4. Step 4: Simplify right side
    4,511,279,232,330.30x = 30,527,460,468,081,766,850,101,248
  5. Step 5: Solve for x
    x = 30,527,460,468,081,766,850,101,248/4,511,279,232,330.30
  6. Step 6: Final answer
    x = 6,766,918,848,495.40

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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.