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Finding the Fourth Proportional to 401,060,808,838.04, 601,591,213,257.05 and 401,060,808,838.04

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Solution

The fourth proportional to 401,060,808,838.04, 601,591,213,257.05 and 401,060,808,838.04 is: 601,591,213,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060,808,838.04 : 601,591,213,257.05 = 401,060,808,838.04 : x
  2. Step 2: Convert to fraction form
    401,060,808,838.04/601,591,213,257.05 = 401,060,808,838.04/x
  3. Step 3: Cross multiply
    401,060,808,838.04x = 601,591,213,257.05 × 401,060,808,838.04
  4. Step 4: Simplify right side
    401,060,808,838.04x = 241,274,658,578,730,303,094,784
  5. Step 5: Solve for x
    x = 241,274,658,578,730,303,094,784/401,060,808,838.04
  6. Step 6: Final answer
    x = 601,591,213,257.05

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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.