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Finding the Fourth Proportional to 23,252,184,200.40, 34,878,276,300.60 and 23,252,184,200.40

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Solution

The fourth proportional to 23,252,184,200.40, 34,878,276,300.60 and 23,252,184,200.40 is: 34,878,276,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252,184,200.40 : 34,878,276,300.60 = 23,252,184,200.40 : x
  2. Step 2: Convert to fraction form
    23,252,184,200.40/34,878,276,300.60 = 23,252,184,200.40/x
  3. Step 3: Cross multiply
    23,252,184,200.40x = 34,878,276,300.60 × 23,252,184,200.40
  4. Step 4: Simplify right side
    23,252,184,200.40x = 810,996,105,133,997,162,496
  5. Step 5: Solve for x
    x = 810,996,105,133,997,162,496/23,252,184,200.40
  6. Step 6: Final answer
    x = 34,878,276,300.60

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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.