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Finding the Fourth Proportional to 5,410,366,729.40, 8,115,550,094.10 and 5,410,366,729.40

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Solution

The fourth proportional to 5,410,366,729.40, 8,115,550,094.10 and 5,410,366,729.40 is: 8,115,550,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,366,729.40 : 8,115,550,094.10 = 5,410,366,729.40 : x
  2. Step 2: Convert to fraction form
    5,410,366,729.40/8,115,550,094.10 = 5,410,366,729.40/x
  3. Step 3: Cross multiply
    5,410,366,729.40x = 8,115,550,094.10 × 5,410,366,729.40
  4. Step 4: Simplify right side
    5,410,366,729.40x = 43,908,102,219,897,675,776
  5. Step 5: Solve for x
    x = 43,908,102,219,897,675,776/5,410,366,729.40
  6. Step 6: Final answer
    x = 8,115,550,094.10

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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.