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Finding the Fourth Proportional to 7,102,776,172.60, 10,654,164,258.90 and 7,102,776,172.60

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Solution

The fourth proportional to 7,102,776,172.60, 10,654,164,258.90 and 7,102,776,172.60 is: 10,654,164,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102,776,172.60 : 10,654,164,258.90 = 7,102,776,172.60 : x
  2. Step 2: Convert to fraction form
    7,102,776,172.60/10,654,164,258.90 = 7,102,776,172.60/x
  3. Step 3: Cross multiply
    7,102,776,172.60x = 10,654,164,258.90 × 7,102,776,172.60
  4. Step 4: Simplify right side
    7,102,776,172.60x = 75,674,144,037,081,464,832
  5. Step 5: Solve for x
    x = 75,674,144,037,081,464,832/7,102,776,172.60
  6. Step 6: Final answer
    x = 10,654,164,258.90

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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.