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Finding the Fourth Proportional to 312,088,728,175.40, 468,133,092,263.10 and 312,088,728,175.40

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Solution

The fourth proportional to 312,088,728,175.40, 468,133,092,263.10 and 312,088,728,175.40 is: 468,133,092,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,088,728,175.40 : 468,133,092,263.10 = 312,088,728,175.40 : x
  2. Step 2: Convert to fraction form
    312,088,728,175.40/468,133,092,263.10 = 312,088,728,175.40/x
  3. Step 3: Cross multiply
    312,088,728,175.40x = 468,133,092,263.10 × 312,088,728,175.40
  4. Step 4: Simplify right side
    312,088,728,175.40x = 146,099,061,381,208,073,043,968
  5. Step 5: Solve for x
    x = 146,099,061,381,208,073,043,968/312,088,728,175.40
  6. Step 6: Final answer
    x = 468,133,092,263.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.